{"id":940,"date":"2025-01-12T00:31:11","date_gmt":"2025-01-11T22:31:11","guid":{"rendered":"https:\/\/tonik.com.ua\/ploshha-bichnoyi-poverhni-czylindra\/"},"modified":"2025-02-17T17:37:40","modified_gmt":"2025-02-17T15:37:40","slug":"ploshha-bichnoyi-poverhni-czylindra","status":"publish","type":"post","link":"https:\/\/tonik.com.ua\/ru\/ploshha-bichnoyi-poverhni-czylindra\/","title":{"rendered":"\u041f\u043b\u043e\u0449\u0430\u0434\u044c \u0431\u043e\u043a\u043e\u0432\u043e\u0439 \u043f\u043e\u0432\u0435\u0440\u0445\u043d\u043e\u0441\u0442\u0438 \u0446\u0438\u043b\u0438\u043d\u0434\u0440\u0430"},"content":{"rendered":"<h2>\u0427\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u0431\u043e\u043a\u043e\u0432\u0430\u044f \u043f\u043e\u0432\u0435\u0440\u0445\u043d\u043e\u0441\u0442\u044c \u0446\u0438\u043b\u0438\u043d\u0434\u0440\u0430?<\/h2>\n<p>\u0426\u0438\u043b\u0438\u043d\u0434\u0440 \u2013 \u044d\u0442\u043e \u043e\u0431\u044a\u0435\u043c\u043d\u0430\u044f \u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u0430\u044f \u0444\u0438\u0433\u0443\u0440\u0430, \u043a\u043e\u0442\u043e\u0440\u0430\u044f \u0441\u043e\u0441\u0442\u043e\u0438\u0442 \u0438\u0437 \u0434\u0432\u0443\u0445 \u043a\u0440\u0443\u0433\u043b\u044b\u0445 \u043e\u0441\u043d\u043e\u0432\u0430\u043d\u0438\u0439 \u0438 \u0431\u043e\u043a\u043e\u0432\u043e\u0439 \u043f\u043e\u0432\u0435\u0440\u0445\u043d\u043e\u0441\u0442\u0438. \u0411\u043e\u043a\u043e\u0432\u0430\u044f \u043f\u043e\u0432\u0435\u0440\u0445\u043d\u043e\u0441\u0442\u044c \u2013 \u044d\u0442\u043e \u0447\u0430\u0441\u0442\u044c \u0446\u0438\u043b\u0438\u043d\u0434\u0440\u0430, \u00ab\u0441\u043e\u0435\u0434\u0438\u043d\u044f\u044e\u0449\u0430\u044f\u00bb \u044d\u0442\u0438 \u0434\u0432\u0430 \u043a\u0440\u0443\u0433\u0430. \u0415\u0441\u043b\u0438 \u0435\u0435 \u0440\u0430\u0437\u0432\u0435\u0440\u043d\u0443\u0442\u044c \u043d\u0430 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0438, \u043e\u043d\u0430 \u0431\u0443\u0434\u0435\u0442 \u043f\u0440\u044f\u043c\u043e\u0443\u0433\u043e\u043b\u044c\u043d\u0438\u043a\u043e\u043c, \u0441\u0432\u0435\u0440\u043d\u0443\u0442\u044b\u043c \u0432 \u043a\u043e\u043b\u044c\u0446\u043e.<\/p>\n<h2>\u0424\u043e\u0440\u043c\u0443\u043b\u0430 \u0434\u043b\u044f \u0440\u0430\u0441\u0447\u0435\u0442\u0430<\/h2>\n<p>\u041f\u043b\u043e\u0449\u0430\u0434\u044c \u0431\u043e\u043a\u043e\u0432\u043e\u0439 \u043f\u043e\u0432\u0435\u0440\u0445\u043d\u043e\u0441\u0442\u0438 \u0446\u0438\u043b\u0438\u043d\u0434\u0440\u0430 \u0432\u044b\u0447\u0438\u0441\u043b\u044f\u0435\u0442\u0441\u044f \u043f\u043e \u0444\u043e\u0440\u043c\u0443\u043b\u0435: <strong>S = 2\u03c0rh<\/strong>, \u0433\u0434\u0435 r \u2013 \u0440\u0430\u0434\u0438\u0443\u0441 \u043e\u0441\u043d\u043e\u0432\u0430\u043d\u0438\u044f, h \u2013 \u0432\u044b\u0441\u043e\u0442\u0430 \u0446\u0438\u043b\u0438\u043d\u0434\u0440\u0430, \u0430 \u03c0 \u2013 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u0435\u0441\u043a\u0430\u044f \u043a\u043e\u043d\u0441\u0442\u0430\u043d\u0442\u0430. \u041f\u043e \u0441\u0443\u0442\u0438, \u044d\u0442\u043e \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435 \u043f\u0435\u0440\u0438\u043c\u0435\u0442\u0440\u0430 \u043a\u0440\u0443\u0433\u0430 \u0438 \u0432\u044b\u0441\u043e\u0442\u044b \u0446\u0438\u043b\u0438\u043d\u0434\u0440\u0430.<\/p>\n<h2>\u041f\u043e\u0447\u0435\u043c\u0443 \u044d\u0442\u043e \u0432\u0430\u0436\u043d\u043e?<\/h2>\n<p>\u0417\u043d\u0430\u043d\u0438\u0435 \u043f\u043b\u043e\u0449\u0430\u0434\u0438 \u0431\u043e\u043a\u043e\u0432\u043e\u0439 \u043f\u043e\u0432\u0435\u0440\u0445\u043d\u043e\u0441\u0442\u0438 \u0446\u0438\u043b\u0438\u043d\u0434\u0440\u0430 \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u043f\u0440\u0438 \u0440\u0430\u0441\u0447\u0435\u0442\u0435 \u043a\u043e\u043b\u0438\u0447\u0435\u0441\u0442\u0432\u0430 \u043c\u0430\u0442\u0435\u0440\u0438\u0430\u043b\u0430 \u0434\u043b\u044f \u0443\u043f\u0430\u043a\u043e\u0432\u043a\u0438 \u0446\u0438\u043b\u0438\u043d\u0434\u0440\u0438\u0447\u0435\u0441\u043a\u0438\u0445 \u043e\u0431\u044a\u0435\u043a\u0442\u043e\u0432, \u0431\u0443\u0434\u044c \u0442\u043e \u0431\u0430\u043d\u043a\u0438 \u0438\u043b\u0438 \u0442\u0440\u0443\u0431\u044b. \u041e\u043d\u043e \u0442\u0430\u043a\u0436\u0435 \u0430\u043a\u0442\u0443\u0430\u043b\u044c\u043d\u043e \u0432 \u0443\u0447\u0435\u0431\u043d\u043e\u0439 \u043f\u0440\u043e\u0433\u0440\u0430\u043c\u043c\u0435 \u043f\u043e \u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0438.<\/p>\n<h2>\u041f\u043e\u0448\u0430\u0433\u043e\u0432\u0430\u044f \u0438\u043d\u0441\u0442\u0440\u0443\u043a\u0446\u0438\u044f<\/h2>\n<ol>\n<li>\u041e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435 \u0440\u0430\u0434\u0438\u0443\u0441 (\u0435\u0441\u043b\u0438 \u0434\u0430\u043d \u0434\u0438\u0430\u043c\u0435\u0442\u0440, \u0440\u0430\u0437\u0434\u0435\u043b\u0438\u0442\u0435 \u0435\u0433\u043e \u043d\u0430 2).<\/li>\n<li>\u0418\u0437\u043c\u0435\u0440\u044c\u0442\u0435 \u0432\u044b\u0441\u043e\u0442\u0443 \u0446\u0438\u043b\u0438\u043d\u0434\u0440\u0430.<\/li>\n<li>\u041f\u043e\u0434\u0441\u0442\u0430\u0432\u044c\u0442\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f \u0432 \u0444\u043e\u0440\u043c\u0443\u043b\u0443 2\u03c0rh.<\/li>\n<li>\u0412\u044b\u043f\u043e\u043b\u043d\u0438\u0442\u0435 \u0432\u044b\u0447\u0438\u0441\u043b\u0435\u043d\u0438\u044f \u0441 \u043f\u043e\u043c\u043e\u0449\u044c\u044e \u043a\u0430\u043b\u044c\u043a\u0443\u043b\u044f\u0442\u043e\u0440\u0430 \u043f\u0440\u0438 \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e\u0441\u0442\u0438.<\/li>\n<\/ol>\n<h2>\u041f\u0440\u0438\u043c\u0435\u0440<\/h2>\n<p>\u0415\u0441\u043b\u0438 r = 5 \u0441\u043c \u0438 h = 10 \u0441\u043c, \u0442\u043e \u043f\u043b\u043e\u0449\u0430\u0434\u044c \u0431\u043e\u043a\u043e\u0432\u043e\u0439 \u043f\u043e\u0432\u0435\u0440\u0445\u043d\u043e\u0441\u0442\u0438 \u0440\u0430\u0432\u043d\u0430 2 \u00d7 \u03c0 \u00d7 5 \u00d7 10 = 100\u03c0 \u0441\u043c<sup>2<\/sup> (\u043f\u0440\u0438\u043c\u0435\u0440\u043d\u043e 314,16 \u0441\u043c<sup>2<\/sup>).<\/p>\n<h2>\u0420\u0430\u0441\u043f\u0440\u043e\u0441\u0442\u0440\u0430\u043d\u0435\u043d\u043d\u044b\u0435 \u043e\u0448\u0438\u0431\u043a\u0438<\/h2>\n<ul>\n<li>\u041f\u0443\u0442\u0430\u043d\u0438\u0446\u0430 \u043c\u0435\u0436\u0434\u0443 \u0440\u0430\u0434\u0438\u0443\u0441\u043e\u043c \u0438 \u0434\u0438\u0430\u043c\u0435\u0442\u0440\u043e\u043c.<\/li>\n<li>\u041d\u0435\u0442\u043e\u0447\u043d\u043e\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u03c0.<\/li>\n<li>\u041d\u0435\u043f\u0440\u0430\u0432\u0438\u043b\u044c\u043d\u043e\u0435 \u043e\u043a\u0440\u0443\u0433\u043b\u0435\u043d\u0438\u0435.<\/li>\n<\/ul>\n<h2>\u041f\u043e\u043b\u043d\u0430\u044f \u043f\u043e\u0432\u0435\u0440\u0445\u043d\u043e\u0441\u0442\u044c \u0446\u0438\u043b\u0438\u043d\u0434\u0440\u0430<\/h2>\n<p>\u0427\u0442\u043e\u0431\u044b \u043d\u0430\u0439\u0442\u0438 \u043f\u043b\u043e\u0449\u0430\u0434\u044c \u0432\u0441\u0435\u0439 \u043f\u043e\u0432\u0435\u0440\u0445\u043d\u043e\u0441\u0442\u0438 \u0446\u0438\u043b\u0438\u043d\u0434\u0440\u0430, \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u044e\u0442 \u0444\u043e\u0440\u043c\u0443\u043b\u0443 <strong>S<sub>\u043f\u043e\u043b\u043d\u0430\u044f<\/sub> = 2\u03c0rh + 2\u03c0r<sup>2<\/sup><\/strong>. \u041e\u043d\u0430 \u0443\u0447\u0438\u0442\u044b\u0432\u0430\u0435\u0442 \u0438 \u0431\u043e\u043a\u043e\u0432\u0443\u044e \u043f\u043e\u0432\u0435\u0440\u0445\u043d\u043e\u0441\u0442\u044c, \u0438 \u0434\u0432\u0435 \u043a\u0440\u0443\u0433\u043b\u044b\u0435 \u043e\u0441\u043d\u043e\u0432\u044b, \u0447\u0442\u043e \u0432\u0430\u0436\u043d\u043e \u0432 \u0441\u0442\u0440\u043e\u0438\u0442\u0435\u043b\u044c\u0441\u0442\u0432\u0435 \u0438 \u043f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u0441\u0442\u0432\u0435.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0427\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u0431\u043e\u043a\u043e\u0432\u0430\u044f \u043f\u043e\u0432\u0435\u0440\u0445\u043d\u043e\u0441\u0442\u044c \u0446\u0438\u043b\u0438\u043d\u0434\u0440\u0430? \u0426\u0438\u043b\u0438\u043d\u0434\u0440 \u2013 \u044d\u0442\u043e \u043e\u0431\u044a\u0435\u043c\u043d\u0430\u044f \u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u0430\u044f \u0444\u0438\u0433\u0443\u0440\u0430, \u043a\u043e\u0442\u043e\u0440\u0430\u044f \u0441\u043e\u0441\u0442\u043e\u0438\u0442 \u0438\u0437 \u0434\u0432\u0443\u0445 \u043a\u0440\u0443\u0433\u043b\u044b\u0445 \u043e\u0441\u043d\u043e\u0432\u0430\u043d\u0438\u0439 \u0438 \u0431\u043e\u043a\u043e\u0432\u043e\u0439 \u043f\u043e\u0432\u0435\u0440\u0445\u043d\u043e\u0441\u0442\u0438. \u0411\u043e\u043a\u043e\u0432\u0430\u044f \u043f\u043e\u0432\u0435\u0440\u0445\u043d\u043e\u0441\u0442\u044c \u2013 \u044d\u0442\u043e \u0447\u0430\u0441\u0442\u044c \u0446\u0438\u043b\u0438\u043d\u0434\u0440\u0430, \u00ab\u0441\u043e\u0435\u0434\u0438\u043d\u044f\u044e\u0449\u0430\u044f\u00bb \u044d\u0442\u0438 \u0434\u0432\u0430 \u043a\u0440\u0443\u0433\u0430. \u0415\u0441\u043b\u0438 \u0435\u0435 \u0440\u0430\u0437\u0432\u0435\u0440\u043d\u0443\u0442\u044c \u043d\u0430 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0438, &hellip;<\/p>\n","protected":false},"author":1,"featured_media":1100,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[20],"tags":[],"class_list":["post-940","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-ukosvitaruobrazovanye"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v24.6 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u041f\u043b\u043e\u0449\u0430\u0434\u044c \u0431\u043e\u043a\u043e\u0432\u043e\u0439 \u043f\u043e\u0432\u0435\u0440\u0445\u043d\u043e\u0441\u0442\u0438 \u0446\u0438\u043b\u0438\u043d\u0434\u0440\u0430 - \u041d\u043e\u0432\u043e\u0441\u0442\u0438 \u0438 \u0441\u043e\u0432\u0435\u0442\u044b Tonik<\/title>\n<meta name=\"description\" content=\"\u0424\u043e\u0440\u043c\u0443\u043b\u044b \u0434\u043b\u044f \u0440\u0430\u0441\u0447\u0435\u0442\u0430 \u043f\u043b\u043e\u0449\u0430\u0434\u0438 \u0431\u043e\u043a\u043e\u0432\u043e\u0439 \u043f\u043e\u0432\u0435\u0440\u0445\u043d\u043e\u0441\u0442\u0438 \u0446\u0438\u043b\u0438\u043d\u0434\u0440\u0430. \u041f\u043e\u0448\u0430\u0433\u043e\u0432\u044b\u0435 \u043e\u0431\u044a\u044f\u0441\u043d\u0435\u043d\u0438\u044f, \u043f\u0440\u0438\u043c\u0435\u0440\u044b \u0438 \u043f\u0440\u0438\u043c\u0435\u043d\u0435\u043d\u0438\u0435 \u0432 \u0437\u0430\u0434\u0430\u0447\u0430\u0445.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/tonik.com.ua\/ru\/ploshha-bichnoyi-poverhni-czylindra\/\" \/>\n<meta property=\"og:locale\" content=\"ru_RU\" \/>\n<meta property=\"og:locale:alternate\" content=\"uk\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u041f\u043b\u043e\u0449\u0430\u0434\u044c \u0431\u043e\u043a\u043e\u0432\u043e\u0439 \u043f\u043e\u0432\u0435\u0440\u0445\u043d\u043e\u0441\u0442\u0438 \u0446\u0438\u043b\u0438\u043d\u0434\u0440\u0430\" \/>\n<meta property=\"og:description\" content=\"\u0424\u043e\u0440\u043c\u0443\u043b\u044b \u0434\u043b\u044f \u0440\u0430\u0441\u0447\u0435\u0442\u0430 \u043f\u043b\u043e\u0449\u0430\u0434\u0438 \u0431\u043e\u043a\u043e\u0432\u043e\u0439 \u043f\u043e\u0432\u0435\u0440\u0445\u043d\u043e\u0441\u0442\u0438 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