{"id":24192,"date":"2023-12-25T13:56:26","date_gmt":"2023-12-25T13:56:26","guid":{"rendered":"https:\/\/science-hub.click\/%E3%83%9C%E3%83%AA%E3%83%A5%E3%83%BC%E3%83%A0-%E5%AE%9A%E7%BE%A9\/"},"modified":"2023-12-25T13:56:26","modified_gmt":"2023-12-25T13:56:26","slug":"%E3%83%9C%E3%83%AA%E3%83%A5%E3%83%BC%E3%83%A0-%E5%AE%9A%E7%BE%A9","status":"publish","type":"post","link":"https:\/\/science-hub.click\/?p=24192","title":{"rendered":"\u30dc\u30ea\u30e5\u30fc\u30e0 &#8211; \u5b9a\u7fa9"},"content":{"rendered":"<div><div><p>\u7269\u7406\u5b66\u3067\u306f\u3001\u7269\u4f53\u306e<strong>\u4f53\u7a4d\u306f\u3001<\/strong>\u5e73\u9762\u5185\u306e\u56f3\u5f62\u306e\u9762\u7a4d\u304c\u4e21\u65b9\u5411\u306e\u300c\u5e83\u304c\u308a\u300d\u3092\u6e2c\u5b9a\u3059\u308b\u306e\u3068\u540c\u3058\u3088\u3046\u306b\u3001\u540c\u6642\u306b 3 \u65b9\u5411\u306e\u300c\u7a7a\u9593\u306e\u5e83\u304c\u308a\u300d\u3092\u6e2c\u5b9a\u3057\u307e\u3059\u3002<span><a href=\"https:\/\/science-hub.click\/?p=82055\">\u540c\u6642\u306b<\/a><\/span>\u3002<\/p><p><span><a href=\"https:\/\/science-hub.click\/?p=71631\">\u4f53\u7a4d\u306f<\/a><\/span>\u56fd\u969b\u30b7\u30b9\u30c6\u30e0\u3067\u306f<span><a href=\"https:\/\/science-hub.click\/?p=101007\">\u7acb\u65b9<\/a><\/span><span><a href=\"https:\/\/science-hub.click\/?p=13592\">\u30e1\u30fc\u30c8\u30eb<\/a><\/span>\u3067\u6e2c\u5b9a\u3055\u308c\u307e\u3059\u3002\u7279\u306b\u6db2\u4f53\u306e\u5834\u5408\u3001<span><a href=\"https:\/\/science-hub.click\/?p=46058\">\u30ea\u30c3\u30c8\u30eb\u3092<\/a><\/span>\u983b\u7e41\u306b\u4f7f\u7528\u3057\u307e\u3059\u3002<\/p><p>\u3057\u305f\u304c\u3063\u3066\u3001<strong>\u4f53\u7a4d\u3092<\/strong>\u5e83\u7bc4\u306a\u91cf\u3068\u898b\u306a\u3057\u3001\u305d\u308c\u306b\u95a2\u9023\u3059\u308b<span><a href=\"https:\/\/science-hub.click\/?p=105613\">\u71b1\u529b\u5b66\u7684<\/a><\/span>\u96c6\u7d04\u91cf\u304c<span><a href=\"https:\/\/science-hub.click\/?p=106732\">\u5727\u529b<\/a><\/span>\u3067\u3059\u3002<\/p><p>\u6570\u5b66\u3067\u306f\u3001\u7a7a\u9593\u306e\u4e00\u90e8\u306e<strong>\u4f53\u7a4d<\/strong>\u304c\u305d\u306e\u5c3a\u5ea6\u306b\u306a\u308a\u307e\u3059\u3002\u5358\u7d14\u306a\u56fa\u4f53 (\u5e73\u884c\u516d\u9762\u4f53\u3084\u56de\u8ee2\u7269\u4f53) \u306e\u5834\u5408\u306f\u3001\u305d\u306e\u56fa\u6709\u306e<span><a href=\"https:\/\/science-hub.click\/?p=84871\">\u5bf8\u6cd5<\/a><\/span>\u306b\u5f93\u3063\u3066\u4f53\u7a4d\u3092\u6c7a\u5b9a\u3067\u304d\u308b\u6570\u5f0f\u304c\u3042\u308a\u307e\u3059\u3002<span><a href=\"https:\/\/science-hub.click\/?p=28464\">\u30e6\u30fc\u30af\u30ea\u30c3\u30c9\u5e7e\u4f55\u5b66<\/a><\/span>\u3067\u306f\u30013 \u3064\u306e\u975e\u5171\u9762\u30d9\u30af\u30c8\u30eb\u306b\u3088\u3063\u3066\u751f\u6210\u3055\u308c\u308b<span>\u5e73\u884c\u516d\u9762\u4f53<\/span>\u306e\u4f53\u7a4d<div class=\"math-formual notranslate\">$$ {(\\vec v_1, \\vec v_2, \\vec v_3)} $$<\/div>\u306f\u30013 \u3064\u306e\u30d9\u30af\u30c8\u30eb\u306e\u6df7\u5408\u7a4d\u3092\u4f7f\u7528\u3057\u3066\u8a08\u7b97\u3055\u308c\u307e\u3059\u3002 <div class=\"math-formual notranslate\">$$ {V = |\\det( \\vec v_1, \\vec v_2, \\vec v_3)|} $$<\/div> \u3002\u4f53\u7a4d\u8a08\u7b97\u306f\u3001\u5fae\u5c0f\u8a08\u7b97\u306e\u9032\u6b69\u306b\u4f34\u3044\u3001\u6b74\u53f2\u3092\u901a\u3058\u3066\u9032\u5316\u3057\u3066\u304d\u307e\u3057\u305f\u3002\u3053\u306e\u3088\u3046\u306b\u3057\u3066\u3001\u6700\u521d\u306e\u4f53\u7a4d\u306f\u6d88\u5c3d\u6cd5\u3092\u4f7f\u7528\u3057\u3066\u8a08\u7b97\u3055\u308c\u3001\u6b21\u306b\u30ab\u30d0\u30ea\u30a8\u30ea\u306e\u539f\u7406\u3092\u4f7f\u7528\u3057\u3066\u3001\u6700\u5f8c\u306b\u4e09\u91cd\u7a4d\u5206\u306e\u8a08\u7b97\u306b\u3088\u3063\u3066\u8a08\u7b97\u3055\u308c\u307e\u3057\u305f\u3002<\/p><h2><span>\u4f53\u7a4d\u5358\u4f4d<\/span><\/h2><p>\u56fd\u969b\u7684\u306a\u4f53\u7a4d\u5358\u4f4d\u306f\u7acb\u65b9\u30e1\u30fc\u30c8\u30eb (m3) \u3068\u305d\u306e\u6d3e\u751f\u5358\u4f4d (dm3\u3001cm3\u3001mm3) \u3067\u3059\u3002\u3057\u304b\u3057\u3001\u7279\u306b\u30a2\u30f3\u30b0\u30ed\u30b5\u30af\u30bd\u30f3<span><a href=\"https:\/\/science-hub.click\/?p=87413\">\u8af8\u56fd<\/a><\/span>\u3067\u306f\u4ed6\u306e\u4f53\u7a4d\u5358\u4f4d\u304c\u5b58\u7d9a\u3057\u3066\u3044\u307e\u3059 (\u5358\u4f4d\u306e\u5909\u63db\u3092\u53c2\u7167)\u3002<\/p><p><span><a href=\"https:\/\/science-hub.click\/?p=99251\">\u6db2\u4f53<\/a><\/span><span><a href=\"https:\/\/science-hub.click\/?p=98627\">\u6750\u6599<\/a><\/span>\u306e\u4f53\u7a4d\u306b\u306f\u3001\u591a\u304f\u306e\u5834\u5408\u3001\u72ec\u81ea\u306e\u5358\u4f4d (\u30ea\u30c3\u30c8\u30eb\u3001\u30d1\u30a4\u30f3\u30c8\u3001\u30d0\u30ec\u30eb) \u304c\u3042\u308a\u307e\u3059\u3002\u30e1\u30fc\u30c8\u30eb\u6cd5\u304c\u78ba\u7acb\u3055\u308c\u305f\u3053\u3068\u306b\u3088\u308a\u3001\u53e4\u3044\u5236\u5ea6\u3067\u306f 20 \u4ee5\u4e0a\u3042\u3063\u305f\u4f53\u7a4d\u5358\u4f4d\u306e<span><a href=\"https:\/\/science-hub.click\/?p=71097\">\u6570\u304c<\/a><\/span>\u5927\u5e45\u306b\u7c21\u7d20\u5316\u3055\u308c\u307e\u3057\u305f (\u30a2\u30f3\u30b7\u30e3\u30f3 \u30ec\u30b8\u30fc\u30e0\u306e\u6e2c\u5b9a\u5358\u4f4d\u3092\u53c2\u7167)\u3002<\/p><p>\u5727\u529b\u3084<span><a href=\"https:\/\/science-hub.click\/?p=72157\">\u6e29\u5ea6<\/a><\/span>\u306b\u95a2\u4fc2\u306a\u304f\u3001\u7279\u5b9a\u306e\u4f53\u7a4d\u306b\u542b\u307e\u308c\u308b<span><a href=\"https:\/\/science-hub.click\/?p=41464\">\u7269\u8cea\u306e\u91cf<\/a><\/span>(\u5206\u5b50\u306e\u6570) \u3092\u77e5\u308a\u305f\u3044<span><a href=\"https:\/\/science-hub.click\/?p=40022\">\u6c17\u4f53<\/a><\/span>\u306e\u5834\u5408\u30012 \u3064\u306e\u88dc\u6b63\u5b9a\u7fa9\u304c\u5b58\u5728\u3057\u307e\u3059\u3002<\/p><ul><li> m <sup>3<\/sup> (n) \u3067\u8868\u3055\u308c\u308b\u3044\u308f\u3086\u308b\u6a19\u6e96\u7acb\u65b9\u30e1\u30fc\u30c8\u30eb\u30021013.25 hPa (\u901a\u5e38\u306e\u5927\u6c17\u306e\u5727\u529b\u307e\u305f\u306f 1 atm) \u306e\u5727\u529b\u3068 0\u00b0C \u306e\u6e29\u5ea6\u4e0b\u306b\u7f6e\u304b\u308c\u305f\u30ac\u30b9\u306e\u4f53\u7a4d\u306b\u76f8\u5f53\u3057\u307e\u3059\u3002<\/li><li> m <sup>3<\/sup> (s) \u3067\u8868\u3055\u308c\u308b\u3044\u308f\u3086\u308b\u6a19\u6e96\u7acb\u65b9\u30e1\u30fc\u30c8\u30eb\u30021013.25 hPa (\u901a\u5e38\u306e\u5927\u6c17\u306e\u5727\u529b\u307e\u305f\u306f 1 atm) \u306e\u5727\u529b\u3068 15\u00b0C \u306e\u6e29\u5ea6\u4e0b\u306b\u7f6e\u304b\u308c\u305f\u30ac\u30b9\u306e\u4f53\u7a4d\u306b\u76f8\u5f53\u3057\u307e\u3059\u3002<\/li><\/ul><p>\u4e0a\u8a18\u306e\u30dc\u30ea\u30e5\u30fc\u30e0\u306f\u3001\u3044\u308f\u3086\u308b\u88dc\u6b63\u30dc\u30ea\u30e5\u30fc\u30e0\u306b\u76f8\u5f53\u3057\u307e\u3059\u3002\u3053\u308c\u3089\u306e\u88dc\u6b63\u3092\u8003\u616e\u3057\u306a\u3044\u30dc\u30ea\u30e5\u30fc\u30e0\u306f\u3001\u30b0\u30ed\u30b9\u3067\u3042\u308b\u3068\u8a00\u308f\u308c\u307e\u3059\u3002\u30ac\u30b9\u306e\u6d41\u91cf (\u6d41\u91cf\u3092\u53c2\u7167) \u3068<span>\u767a\u71b1\u91cf<\/span>\u3092\u8a08\u7b97\u3059\u308b\u969b\u306b\u3001\u3053\u308c\u3089\u306e\u4f53\u7a4d\u306b\u906d\u9047\u3057\u307e\u3059\u3002<\/p><p>\u6b27\u5dde\u9023\u5408\u3067\u306f\u3001\u6d88\u8cbb\u8005\u88fd\u54c1\u306e\u591a\u304f\u306e\u4f53\u7a4d (\u304a\u3088\u3073\u8cea\u91cf) \u304c<span><a href=\"https:\/\/science-hub.click\/?p=1196\">\u63a8\u5b9a\u6570\u91cf<\/a><\/span>\u3068\u3057\u3066\u8868\u793a\u3055\u308c\u307e\u3059\u3002\u3053\u308c\u3089\u306b\u306f\u3001\u5c0f\u6587\u5b57\u306e\u300ce\u300d\u304c\u4ed8\u3051\u3089\u308c\u3066\u30de\u30fc\u30af\u3055\u308c\u3066\u3044\u307e\u3059\u3002<\/p><p><span><a href=\"https:\/\/science-hub.click\/?p=66499\">\u6570\u5b66<\/a><\/span>\u3067\u306f\u3001\u4f53\u7a4d\u306e\u5358\u4f4d\u306f\u5f0f\u306b\u306f\u73fe\u308c\u307e\u305b\u3093\u3002\u3053\u308c\u306f<i>\u5358\u4f4d\u7acb\u65b9\u4f53<\/i>\u306e\u4f53\u7a4d\u306b\u3088\u3063\u3066\u6697\u9ed9\u7684\u306b<span>\u4e0e\u3048\u3089\u308c\u307e\u3059<\/span>\u3002\u305f\u3068\u3048\u3070\u3001\u30b9\u30b1\u30fc\u30eb\u4e0a\u306e\u7406\u7531\u304b\u3089\u3001<i>\u5358\u4f4d\u7acb\u65b9\u4f53<\/i>\u306e\u8fba\u304c 2 cm \u306e\u5834\u5408\u3001\u4f53\u7a4d X (<i>\u5358\u4f4d\u7acb\u65b9\u4f53<\/i>) \u306f 8X cm3 \u306b\u76f8\u5f53\u3057\u307e\u3059\u3002<\/p><figure class=\"wp-block-image size-large is-style-default\">\n<img decoding=\"async\" alt=\"\u30dc\u30ea\u30e5\u30fc\u30e0 - \u5b9a\u7fa9\" class=\"aligncenter\" onerror=\"this.style.display=none;\" src=\"https:\/\/img.youtube.com\/vi\/tHZ8mSZFqdc\/0.jpg\" style=\"width:100%;\"\/><\/figure><h2><span>\u3044\u304f\u3064\u304b\u306e\u516c\u5f0f<\/span><\/h2><p>\u4ee5\u4e0b\u306b\u6ce8\u610f\u3057\u3066\u3044\u304d\u307e\u3059<\/p><ul><li><span><i>V<\/i><\/span>\u30dc\u30ea\u30e5\u30fc\u30e0<\/li><li><span><i>B<\/i><\/span>\u307e\u305f\u306f<span><i>b<\/i><\/span>\u30d9\u30fc\u30b9\u306e\u9762\u7a4d<\/li><li><span><i>H<\/i><\/span> :<span><a href=\"https:\/\/science-hub.click\/?p=58663\">\u9ad8\u3055<\/a><\/span>(\u307e\u305f\u306f 2 \u3064\u306e\u9762\u306e\u9593\u306e\u8ddd\u96e2)<\/li><li> <span><i>D<\/i><\/span>\u307e\u305f\u306f<span><i>d<\/i><\/span><span><a href=\"https:\/\/science-hub.click\/?p=109019\">\u76f4\u5f84<\/a><\/span><\/li><li><span><i>R<\/i><\/span>\u307e\u305f\u306f<span><i>r<\/i><\/span>\u534a\u5f84<\/li><li>\u7aef<span><i>\u3067<\/i><\/span><\/li><li><span><i>L<\/i><\/span>\u307e\u305f\u306f<span><i>l<\/i><\/span> :<span><a href=\"https:\/\/science-hub.click\/?p=94099\">\u9577\u65b9\u5f62<\/a><\/span>\u306e<span><a href=\"https:\/\/science-hub.click\/?p=17420\">\u9577\u3055<\/a><\/span>\u3068<span><a href=\"https:\/\/science-hub.click\/?p=17054\">\u5e45<\/a><\/span><\/li><\/ul><figure class=\"wp-block-image size-large is-style-default\">\n<img decoding=\"async\" alt=\"\u30dc\u30ea\u30e5\u30fc\u30e0 - \u5b9a\u7fa9\" class=\"aligncenter\" onerror=\"this.style.display=none;\" src=\"https:\/\/img.youtube.com\/vi\/rl91z8LdK4U\/0.jpg\" style=\"width:100%;\"\/><\/figure><h3><span><span><a href=\"https:\/\/science-hub.click\/?p=60183\">\u30d7\u30e9\u30c8\u30f3<\/a><\/span>\u7acb\u4f53<\/span><\/h3><p>\u6b63\u591a\u9762\u4f53\u306f\u3053\u308c\u3089 5 \u3064\u3060\u3051\u3067\u3059\u3002<span><a href=\"https:\/\/science-hub.click\/?p=74485\">\u591a\u9762\u4f53<\/a><\/span>\u306e\u30a8\u30c3\u30b8\u304c<div class=\"math-formual notranslate\">$$ {a\\,} $$<\/div> \u3001 \u6211\u3005\u306f\u6301\u3063\u3066\u3044\u307e\u3059<\/p><ul><li>\u56db\u9762\u4f53\u306e\u5834\u5408: <div class=\"math-formual notranslate\">$$ {V = \\frac{1}{12}\\sqrt{2}a^3} $$<\/div><\/li><li>\u30ad\u30e5\u30fc\u30d6\u306e\u5834\u5408: <div class=\"math-formual notranslate\">$$ {V = a^3\\,} $$<\/div><\/li><li>\u516b\u9762\u4f53\u306e\u5834\u5408: <div class=\"math-formual notranslate\">$$ {V = \\frac 13 \\sqrt 2 a^3} $$<\/div><\/li><li>\u5341\u4e8c\u9762\u4f53\u306e\u5834\u5408: <div class=\"math-formual notranslate\">$$ {V = \\frac 14(15 + 7\\sqrt 5)a^3} $$<\/div><\/li><li>\u6b63\u4e8c\u5341\u9762\u4f53\u306e\u5834\u5408: <div class=\"math-formual notranslate\">$$ {V = \\frac 56\\varphi^2a^3} $$<\/div>\u307e\u305f\u306f<div class=\"math-formual notranslate\">$$ {\\varphi} $$<\/div>\u306f\u9ec4\u91d1\u306e\u6570\u5b57\u3067\u3059<\/li><\/ul><h3><span>\u30d7\u30ea\u30ba\u30e0\u3068\u30b7\u30ea\u30f3\u30c0\u30fc<\/span><\/h3><p>\u4e00\u822c\u7684\u306a\u516c\u5f0f\u306f\u5e38\u306b\u6b21\u306e\u3068\u304a\u308a\u3067\u3059: \u30d9\u30fc\u30b9\u306e\u9762\u7a4d \u00d7 \u9ad8\u3055<\/p><ul><li>\u53f3\u30d7\u30ea\u30ba\u30e0: <div class=\"math-formual notranslate\">$$ {V =B \\times H} $$<\/div><\/li><li>\u76f4\u65b9\u4f53\u307e\u305f\u306f\u8217\u88c5\u3055\u308c\u305f\u76f4\u65b9\u4f53: <div class=\"math-formual notranslate\">$$ {V = L \\times l \\times H} $$<\/div><\/li><li>\u56de\u8ee2<span><a href=\"https:\/\/science-hub.click\/?p=74091\">\u5186\u67f1<\/a><\/span>: <span><i>V<\/i> = \u03c0 <i>R<\/i> <sup>2<\/sup> <i>H<\/i><\/span><\/li><\/ul><h3><span>\u30d4\u30e9\u30df\u30c3\u30c9\u3068\u5186\u9310\u5f62<\/span><\/h3><p>\u4e00\u822c\u7684\u306a\u5f0f\u306f\u5e38\u306b\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3002 <div class=\"math-formual notranslate\">$$ {V = \\frac 13 B \\times H} $$<\/div><\/p><ul><li>\u9769\u547d\u5186\u9310: <div class=\"math-formual notranslate\">$$ {V =  \\frac{\\pi}{3}R^2H} $$<\/div><\/li><li>\u5e95\u9762\u306b\u5e73\u884c\u306a\u5e73\u9762\u3067\u5207\u308a\u53d6\u3089\u308c\u305f\u5186\u9310 (\u307e\u305f\u306f\u89d2\u9310): <div class=\"math-formual notranslate\">$$ {V={H\\over3} (B+b+\\sqrt{Bb})} $$<\/div><\/li><\/ul><figure class=\"wp-block-image size-large is-style-default\">\n<img decoding=\"async\" alt=\"\u30dc\u30ea\u30e5\u30fc\u30e0 - \u5b9a\u7fa9\" class=\"aligncenter\" onerror=\"this.style.display=none;\" src=\"https:\/\/img.youtube.com\/vi\/XWglgERJuPg\/0.jpg\" style=\"width:100%;\"\/><\/figure><h3><span>\u30dc\u30fc\u30eb<\/span><\/h3><ul><li>\u7403\u4f53: <div class=\"math-formual notranslate\">$$ {V = {4 \\over 3} \\pi R^3} $$<\/div>\u307e\u305f\u306f<div class=\"math-formual notranslate\">$$ {V = \\pi {D^3 \\over 6}} $$<\/div><\/li><li>\u7403\u5f62\u30ad\u30e3\u30c3\u30d7: <div class=\"math-formual notranslate\">$$ {V = \\frac{\\pi}{3}H^2(3R-H)} $$<\/div>\u3053\u3053\u3067\u3001 <strong>R<\/strong>\u306f\u30dc\u30fc\u30eb\u306e\u534a\u5f84\u3001 <strong>H \u306f<\/strong>\u30ad\u30e3\u30c3\u30d7\u306e\u9ad8\u3055\u3067\u3059\u3002<\/li><li>\u5186\u67f1\u304c\u8cab\u901a\u3057\u305f<span><a href=\"https:\/\/science-hub.click\/?p=100659\">\u7403\u4f53<\/a><\/span>(\u30ca\u30d7\u30ad\u30f3 \u30ea\u30f3\u30b0): <div class=\"math-formual notranslate\">$$ {V = \\frac{\\pi}{6} H^3} $$<\/div><\/li><li>\u7403\u9762 (\u9802\u70b9 O \u306e\u5186\u9310\u3068\u4e2d\u5fc3 O \u306e\u7403\u3068\u306e\u4ea4\u70b9): <div class=\"math-formual notranslate\">$$ {V = \\frac 23 \\pi R^2H} $$<\/div>\u3053\u3053\u3067\u3001 <strong>H<\/strong>\u306f\u30ad\u30e3\u30c3\u30d7\u306e\u9ad8\u3055\u3001 <strong>R \u306f<\/strong>\u30dc\u30fc\u30eb\u306e\u534a\u5f84\u3067\u3059\u3002<\/li><\/ul><h3><span>\u9769\u547d\u306e\u56fa\u4f53<\/span><\/h3><p>\u30b0\u30eb\u30c7\u30a3\u30f3\u306e<span>\u5b9a\u7406<\/span>(\u307e\u305f\u306f\u30d1\u30c3\u30d7\u30b9\u306e\u6cd5\u5247) \u3092\u4f7f\u7528\u3059\u308b\u3068\u3001\u4e2d\u5fc3\u304c\u308f\u304b\u3063\u3066\u3044\u308b\u9650\u308a\u3001\u305d\u306e\u5e73\u9762\u5185\u306b\u4f4d\u7f6e\u3057\u3001\u305d\u306e\u5e73\u9762\u3068\u4ea4\u5dee\u3057\u306a\u3044\u8ef8\u306e<span><a href=\"https:\/\/science-hub.click\/?p=45508\">\u5468\u308a\u306e<\/a><\/span><span><a href=\"https:\/\/science-hub.click\/?p=48998\">\u8868\u9762<\/a><\/span>\u8981\u7d20 S<span><a href=\"https:\/\/science-hub.click\/?p=87619\">\u5e73\u9762<\/a><\/span>\u306e\u56de\u8ee2\u306b\u3088\u3063\u3066\u751f\u6210\u3055\u308c\u308b\u56de\u8ee2\u4f53\u306e<span><a href=\"https:\/\/science-hub.click\/?p=18982\">\u4f53\u7a4d<\/a><\/span>\u3092\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002\u8868\u9762\u8981\u7d20 S \u306e<span><a href=\"https:\/\/science-hub.click\/?p=18982\">\u91cd\u529b<\/a><\/span>G\u3002 <\/p><dl><dd><div class=\"math-formual notranslate\">$$ {V = 2\\pi R\\cdot S} $$<\/div>\u3053\u3053\u3067\u3001 <i>R \u306f<\/i><span><a href=\"https:\/\/science-hub.click\/?p=43578\">\u70b9<\/a><\/span><i>G<\/i>\u304b\u3089\u56de\u8ee2\u8ef8\u307e\u3067\u306e\u8ddd\u96e2\u3067\u3059\u3002<\/dd><\/dl><p>\u3053\u306e\u5f0f\u306b\u3088\u308a\u3001\u6b21\u306e\u4f53\u7a4d\u3092\u6c7a\u5b9a\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p><ul><li>\u30c8\u30fc\u30e9\u30b9: <span><i>V<\/i> = 2\u03c0 <sup>2<\/sup> <i>R<\/i> <i>r<\/i> <sup>2<\/sup><\/span>\u3053\u3053\u3067\u3001 <i>r \u306f<\/i>\u8ef8<span>(\u0394)<\/span>\u306e\u5468\u308a\u3092\u56de\u8ee2\u3059\u308b\u4e2d\u5fc3<i>G<\/i>\u3092\u6301\u3064<span><a href=\"https:\/\/science-hub.click\/?p=69721\">\u5186<\/a><\/span>\u306e\u534a\u5f84\u3001 <i>R \u306f<\/i><i>G<\/i>\u304b\u3089<span>(\u0394)<\/span>\u307e\u3067\u306e\u8ddd\u96e2\u3067\u3059\u3002<\/li><li>\u30d0\u30ec\u30eb: \u30b1\u30d7\u30e9\u30fc\u306f\u30d0\u30ec\u30eb\u306e\u4f53\u7a4d\u306e\u8fd1\u4f3c\u5f0f\u3092\u4e0e\u3048\u307e\u3059\u3002\u3053\u308c\u306f\u3001\u30d0\u30ec\u30eb\u304c\u7403\u3001<span><a href=\"https:\/\/science-hub.click\/?p=34552\">\u30d4\u30e9\u30df\u30c3\u30c9<\/a><\/span>\u3001\u30b7\u30fc\u30c8\u4ed8\u304d<span><a href=\"https:\/\/science-hub.click\/?p=54757\">\u53cc\u66f2\u9762\u3001\u6955\u5186\u653e\u7269<\/a><\/span><span>\u9762<\/span>\u3001\u56de\u8ee2<span>\u6955\u5186\u4f53<\/span>\u306b\u3088\u3063\u3066\u751f\u6210\u3055\u308c\u308b\u5834\u5408\u306b\u6b63\u78ba\u3067\u3042\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002 <span><i>B<\/i> <sub>1<\/sub><\/span>\u3068<span><i>B<\/i> <sub>2 \u304c<\/sub><\/span>\u30d9\u30fc\u30b9\u306e\u8868\u9762\u3001 <span><i>B<\/i> <sub>3 \u304c<\/sub><\/span>\u4e2d\u9593\u306e\u9ad8\u3055\u306e\u30bb\u30af\u30b7\u30e7\u30f3\u306e\u8868\u9762\u3067\u3042\u308b\u5834\u5408\u3001 <\/li><\/ul><dl><dd><div class=\"math-formual notranslate\">$$ {V = \\frac h6 (B_1 + B_2 + 4B_3)} $$<\/div><\/dd><\/dl><h3><span>\u305d\u306e\u4ed6<\/span><\/h3><ul><li>\u53f3\u5186\u9310<span><a href=\"https:\/\/science-hub.click\/?p=10230\">\u4f53<\/a><\/span>(\u5207\u6b6f\u306e\u4f8b): <div class=\"math-formual notranslate\">$$ {V = \\frac 12 \\pi R^2H} $$<\/div>\u3053\u3053\u3067\u3001 <strong>R<\/strong>\u306f\u57fa\u790e\u5186\u306e\u534a\u5f84\u3001 <strong>H \u306f<\/strong>\u5186\u9310\u306e\u9ad8\u3055\u3067\u3059\u3002<\/li><li><i>\u30a4\u30f3\u30b4\u30c3\u30c8<\/i>\uff08\u5e73\u884c\u306a\uff12\u3064\u306e\u9577\u65b9\u5f62\u306e\u5e95\u9762\u3068\uff14\u3064\u306e\u53f0\u5f62\u306e\u5074\u9762\u304b\u3089\u306a\u308b\u516d\u9762\u4f53\uff09\u3002\u30b1\u30d7\u30e9\u30fc\u306e\u516c\u5f0f\u304c\u898b\u3064\u304b\u308a\u307e\u3059\u3002 <div class=\"math-formual notranslate\">$$ {V = \\frac h6(B_1+B_2+4B_3)} $$<\/div>\u3053\u3053\u3067\u3001 <span><i>B<\/i> <sub>1<\/sub><\/span>\u3068<span><i>B<\/i> <sub>2 \u306f<\/sub><\/span>2 \u3064\u306e\u9577\u65b9\u5f62\u306e\u5e95\u9762\u306e\u9762\u7a4d\u3001 <span><i>B<\/i> <sub>3 \u306f<\/sub><\/span>\u4e2d\u592e\u306e\u9ad8\u3055\u306e\u65ad\u9762\u306e\u9762\u7a4d\u3067\u3059\u3002<\/li><\/ul><h2><span>\u4f53\u7a4d\u3068<span><a href=\"https:\/\/science-hub.click\/?p=23724\">\u7a4d\u5206\u306e\u8a08\u7b97<\/a><\/span><\/span><\/h2><p>\u3082\u3057<div class=\"math-formual notranslate\">$$ {\\mathcal D} $$<\/div>\u306e\u5883\u754c\u90e8\u5206\u3067\u3059<div class=\"math-formual notranslate\">$$ {\\R^2} $$<\/div> \u3001\u30b8\u30a7\u30cd\u30ec\u30fc\u30bf\u30fc\u3068\u3057\u3066\u5883\u754c\u3092\u6301\u3064\u30b7\u30ea\u30f3\u30c0\u30fc\u306e\u4f53\u7a4d<div class=\"math-formual notranslate\">$$ {\\mathcal D} $$<\/div> \u3001\u5e73\u9762<span><i>z<\/i> = 0<\/span>\u3068<span><a href=\"https:\/\/science-hub.click\/?p=66517\">\u65b9\u7a0b\u5f0f<\/a><\/span><span><i>z<\/i> = <i>f<\/i> ( <i>x<\/i> , <i>y<\/i> )<\/span>\u306e\u9762\u306b\u3088\u3063\u3066\u533a\u5207\u3089\u308c\u307e\u3059\u3002f<i>\u306f<\/i>\u6b63\u3067\u9023\u7d9a\u3067\u3059\u3002 <div class=\"math-formual notranslate\">$$ {\\mathcal D} $$<\/div> &#8211; \u6771 \uff1a <\/p><dl><dd><div class=\"math-formual notranslate\">$$ {V = \\iint_\\mathcal D f(x,y)\\,\\mathrm{d}x\\,\\mathrm{d}y} $$<\/div><\/dd><\/dl><p>\u30c9\u30e1\u30a4\u30f3\u304c<div class=\"math-formual notranslate\">$$ {\\mathcal D} $$<\/div>\u306f\u5358\u7d14\u306a\u6761\u4ef6<span><i>x<\/i> <sub>1<\/sub> &lt; <i>x<\/i> &lt; <i>x<\/i> <sub>2<\/sub><\/span> \u3001 <span><i>y<\/i> <sub>1<\/sub> ( <i>x<\/i> ) &lt; <i>y<\/i> ( <i>x<\/i> ) &lt; <i>y<\/i> <sub>2<\/sub> ( <i>x<\/i> )<\/span>\u3067\u5b9a\u7fa9\u3055\u308c\u3001\u3053\u306e\u8a08\u7b97\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002 <\/p><dl><dd><div class=\"math-formual notranslate\">$$ {V = \\int_{x_1}^{x_2}\\!\\int_{y_1(x)}^{y_2(x)} f(x,y)\\,\\mathrm{d}y\\,\\mathrm{d}x} $$<\/div><\/dd><\/dl><p>\u3082\u3057<div class=\"math-formual notranslate\">$$ {\\mathcal A} $$<\/div>\u306e\u5883\u754c\u90e8\u5206\u3067\u3059<div class=\"math-formual notranslate\">$$ {\\R^3} $$<\/div>\u305d\u3057\u3066\u3001\u5b9a\u6570\u95a2\u6570 1 \u304c\u7a4d\u5206\u53ef\u80fd\u3067\u3042\u308b\u5834\u5408\u3001 <div class=\"math-formual notranslate\">$$ {\\mathcal A} $$<\/div> \u3001\u306e\u30dc\u30ea\u30e5\u30fc\u30e0<div class=\"math-formual notranslate\">$$ {\\mathcal A} $$<\/div>\u305d\u308c\u306a\u3089<\/p><dl><dd><div class=\"math-formual notranslate\">$$ {V = \\iiint _\\mathcal A \\mathrm{d}x\\,\\mathrm{d}y\\,\\mathrm{d}z} $$<\/div><\/dd><\/dl><p>\u30c9\u30e1\u30a4\u30f3\u304c<div class=\"math-formual notranslate\">$$ {\\mathcal A} $$<\/div>\u306f\u3001\u5358\u7d14\u306a\u6761\u4ef6<span><i>x<\/i> <sub>1<\/sub> ( <i>z<\/i> , <i>y<\/i> ) &lt; <i>x<\/i> ( <i>z<\/i> , <i>y<\/i> ) &lt; <i>x<\/i> <sub>2<\/sub> ( <i>z<\/i> , <i>y<\/i> )<\/span> \u3001 <span><i>y<\/i> <sub>1<\/sub> ( <i>z<\/i> ) &lt; <i>y<\/i> ( <i>z<\/i> ) &lt; <i>y<\/i> <sub>2<\/sub> ( <i>z<\/i> )<\/span>\u304a\u3088\u3073<span><i>z<\/i> <sub>1<\/sub> &lt; <i>z<\/i> &lt; \u306b\u3088\u3063\u3066\u5b9a\u7fa9\u3055\u308c<\/span>\u307e\u3059\u3002 <span><i>z<\/i> <sub>2 \u3068<\/sub><\/span>\u3059\u308b\u3068\u3001\u3053\u306e\u8a08\u7b97\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002 <\/p><dl><dd><div class=\"math-formual notranslate\">$$ {V = \\int_{z_1}^{z_2}\\!\\int_{y_1(z)}^{y_2(z)}\\!\\int_{x_1(z,y)}^{x_2(z,y)}\\mathrm{d}x\\,\\mathrm{d}y\\,\\mathrm{d}z} $$<\/div><\/dd><\/dl><p>\u7a4d\u5206\u306e\u7dda\u5f62\u6027\u306b\u3088\u308a\u3001\u5b9a\u7fa9\u304c\u96e3\u3057\u3044\u30c9\u30e1\u30a4\u30f3\u3092\u3001\u5358\u7d14\u306a\u6761\u4ef6\u4e0b\u3067\u8868\u73fe\u53ef\u80fd\u306a\u8907\u6570\u306e\u30b5\u30d6\u30c9\u30e1\u30a4\u30f3\u306b\u5206\u5272\u3067\u304d\u307e\u3059\u3002<\/p><p>\u30c9\u30e1\u30a4\u30f3\u306e\u5834\u5408<div class=\"math-formual notranslate\">$$ {\\mathcal A} $$<\/div>\u5358\u7d14\u306a\u6761\u4ef6\u306b\u3088\u308a\u5186\u7b52\u5ea7\u6a19\u3067\u6700\u3082\u3088\u304f\u8868\u73fe\u3055\u308c\u307e\u3059<div class=\"math-formual notranslate\">$$ {\\mathcal A&#8217;} $$<\/div> \u3001\u8a08\u7b97\u306f\u6b21\u306e\u3088\u3046\u306b\u8868\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002 <\/p><dl><dd><div class=\"math-formual notranslate\">$$ {V =  \\iiint _{\\mathcal A&#8217;} r\\,\\mathrm{d}r\\,\\mathrm{d}\\theta\\,dz} $$<\/div>\u307e\u305f\u306f<div class=\"math-formual notranslate\">$$ {\\mathcal A&#8217;} $$<\/div>\u306e\u5883\u754c\u90e8\u5206\u3067\u3059<div class=\"math-formual notranslate\">$$ {\\R_+\\times [0,2\\pi] \\times \\R} $$<\/div><\/dd><\/dl><p>\u30c9\u30e1\u30a4\u30f3\u306e\u5834\u5408<div class=\"math-formual notranslate\">$$ {\\mathcal A} $$<\/div>\u5358\u7d14\u306a\u6761\u4ef6\u306b\u3088\u308a\u7403\u9762\u5ea7\u6a19\u3067\u6700\u3082\u3088\u304f\u8868\u73fe\u3055\u308c\u307e\u3059<div class=\"math-formual notranslate\">$$ {\\mathcal A&#8221;} $$<\/div> \u3001\u8a08\u7b97\u306f\u6b21\u306e\u3088\u3046\u306b\u8868\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002 <\/p><dl><dd><div class=\"math-formual notranslate\">$$ {V =  \\iiint _{\\mathcal A&#8221;} r^2\\sin(\\theta)\\,\\mathrm{d}r\\,\\mathrm{d}\\theta\\,\\mathrm{d}\\phi} $$<\/div>\u307e\u305f\u306f<div class=\"math-formual notranslate\">$$ {\\mathcal A&#8221;} $$<\/div>\u306e\u5883\u754c\u90e8\u5206\u3067\u3059<div class=\"math-formual notranslate\">$$ {\\R_+\\times [0,2\\pi]\\times [0,\\pi]} $$<\/div> \u3002<\/dd><\/dl><p>\u30c9\u30e1\u30a4\u30f3\u304c<div class=\"math-formual notranslate\">$$ {\\mathcal A} $$<\/div>\u306f\u56de\u8ee2\u4f53\u3067\u3042\u308a\u3001\u305d\u306e\u5883\u754c\u306f\u65b9\u7a0b\u5f0f<i>y = f(x)<\/i>\u306e\u66f2\u7dda\u3092\u8ef8<i>(Ox)<\/i>\u3092\u4e2d\u5fc3\u306b\u56de\u8ee2\u3055\u305b\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u751f\u6210\u3055\u308c\u3001\u4f53\u7a4d\u306e\u8a08\u7b97\u306f\u5358\u7d14\u306a<span><a href=\"https:\/\/science-hub.click\/?p=8542\">\u7a4d\u5206<\/a><\/span>\u306b\u9084\u5143\u3055\u308c\u307e\u3059\u3002 <\/p><dl><dd><div class=\"math-formual notranslate\">$$ {V = \\pi \\int_{x_1}^{x_2}f^2(x)\\,\\mathrm{d}x} $$<\/div><\/dd><\/dl><p>\u6700\u5f8c\u306b\u3001Green-Ostrogradsky \u5b9a\u7406\u306b\u3088\u308a\u3001\u4f53\u7a4d\u8a08\u7b97\u3092\u8868\u9762\u7a4d\u5206\u306b\u6e1b\u3089\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002 <\/p><dl><dd><div class=\"math-formual notranslate\">$$ {V = \\iiint _A \\mathrm{d}V = \\frac 13 \\iint_{\\part\\mathcal A} (x,y,z)\\vec n\\,\\mathrm{d}S} $$<\/div><\/dd><\/dl><p>\u307e\u305f\u306f<div class=\"math-formual notranslate\">$$ {\\part\\mathcal A} $$<\/div>\u306e\u5883\u754c\u7dda\u3067\u3059<div class=\"math-formual notranslate\">$$ {\\mathcal A} $$<\/div> \u3001 \u305d\u3057\u3066<div class=\"math-formual notranslate\">$$ {\\vec n} $$<\/div> dS \u306b\u5782\u76f4\u306a\u3001\u5916\u5074\u306b\u5411\u3051\u3089\u308c\u305f\u5358\u4f4d\u30d9\u30af\u30c8\u30eb<div class=\"math-formual notranslate\">$$ {\\mathcal A} $$<\/div> \u3002<\/p><\/div><h2 class=\"ref_link\">\u53c2\u8003\u8cc7\u6599<\/h2><ol><li><a class=\"notranslate\" href=\"https:\/\/af.wikipedia.org\/wiki\/Volume\">Volume \u2013 afrikaans<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/anp.wikipedia.org\/wiki\/%E0%A4%86%E0%A4%AF%E0%A4%A4%E0%A4%A8\">\u0906\u092f\u0924\u0928 \u2013 angika<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/ar.wikipedia.org\/wiki\/%D8%AD%D8%AC%D9%85\">\u062d\u062c\u0645 \u2013 arabe<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/ary.wikipedia.org\/wiki\/%D9%82%D8%AF\">\u0642\u062f \u2013 arabe marocain<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/ast.wikipedia.org\/wiki\/Volume\">Volume \u2013 asturien<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/az.wikipedia.org\/wiki\/H%C9%99cm\">H\u0259cm \u2013 azerba\u00efdjanais<\/a><\/li><\/ol><\/div>\n<div class=\"feature-video\">\n <h2>\n  \u30dc\u30ea\u30e5\u30fc\u30e0 &#8211; \u5b9a\u7fa9\u30fb\u95a2\u9023\u52d5\u753b\n <\/h2>\n <div class=\"video-item\">\n  \n  <figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\">\n   <div class=\"wp-block-embed__wrapper\">\n    <iframe loading=\"lazy\" title=\"\u3010\u30c8\u30c3\u30d7\u3075\u3093\u308f\u308a\u3011\u8d85\u7c21\u5358\u306b\u5206\u3051\u76ee\u3092\u7121\u304f\u3057\u3066\u30dc\u30ea\u30e5\u30fc\u30e0\u30a2\u30c3\u30d7\u3055\u305b\u308b\u65b9\u6cd5\uff01\u5206\u3051\u76ee\u3092\u5909\u3048\u308b\u3060\u3051\u3067\u3044\u3044\uff01\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/Ri87jTpQp00?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe>\n   <\/div>\n  <\/figure>\n  \n <\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u7269\u7406\u5b66\u3067\u306f\u3001\u7269\u4f53\u306e\u4f53\u7a4d\u306f\u3001\u5e73\u9762\u5185\u306e\u56f3\u5f62\u306e\u9762\u7a4d\u304c\u4e21\u65b9\u5411\u306e\u300c\u5e83\u304c\u308a\u300d\u3092\u6e2c\u5b9a\u3059\u308b\u306e\u3068\u540c\u3058\u3088\u3046\u306b\u3001\u540c\u6642\u306b 3 \u65b9\u5411\u306e\u300c\u7a7a\u9593\u306e\u5e83\u304c\u308a\u300d\u3092\u6e2c\u5b9a\u3057\u307e\u3059\u3002\u540c\u6642\u306b\u3002 \u4f53\u7a4d\u306f\u56fd\u969b\u30b7\u30b9\u30c6\u30e0\u3067\u306f\u7acb\u65b9\u30e1\u30fc\u30c8\u30eb\u3067\u6e2c\u5b9a\u3055\u308c\u307e\u3059\u3002\u7279\u306b\u6db2\u4f53\u306e\u5834\u5408\u3001\u30ea\u30c3\u30c8 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":24193,"comment_status":"","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"https:\/\/img.youtube.com\/vi\/O3ART2QZ_B0\/0.jpg","fifu_image_alt":"\u30dc\u30ea\u30e5\u30fc\u30e0 - \u5b9a\u7fa9","footnotes":""},"categories":[5],"tags":[11,13,14,10,12,16,15,21660],"class_list":["post-24192","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-dictionary","tag-techniques","tag-technologie","tag-news","tag-actualite","tag-dossier","tag-sciences","tag-article","tag-volume"],"_links":{"self":[{"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/posts\/24192"}],"collection":[{"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=24192"}],"version-history":[{"count":0,"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/posts\/24192\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/media\/24193"}],"wp:attachment":[{"href":"https:\/\/science-hub.click\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=24192"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=24192"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=24192"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}