{"id":3950,"date":"2026-10-14T18:05:34","date_gmt":"2026-10-14T17:05:34","guid":{"rendered":"https:\/\/wpcalc.com\/tr\/matematik\/koni-hacim-yuzey-alani-hesaplama\/"},"modified":"2026-10-14T18:05:34","modified_gmt":"2026-10-14T17:05:34","slug":"koni-hacim-yuzey-alani-hesaplama","status":"publish","type":"post","link":"https:\/\/wpcalc.com\/tr\/matematik\/koni-hacim-yuzey-alani-hesaplama\/","title":{"rendered":"Koni Hacim ve Y\u00fczey Alan\u0131 Hesaplama"},"content":{"rendered":"<section class=\"not-prose calculator-box\" aria-labelledby=\"calculator-title\"><div class=\"flex items-baseline sm:items-center justify-between gap-2 sm:gap-3\"><div class=\"flex flex-col sm:flex-row sm:items-center gap-2\"><span class=\"icon icon-calculator text-primary-700! text-base! dark:text-primary-300!\" aria-hidden=\"true\"><\/span><h2 id=\"calculator-title\" class=\"text-lg font-display font-bold\">Yar\u0131\u00e7ap ve Y\u00fckseklik ya da Ana Do\u011fru Uzunlu\u011fu ile Koni Hesaplama<\/h2><\/div><div class=\"calcdash-favorite group\">\n  <button type=\"button\" class=\"favorite\" id=\"favorite\" data-favorite-id=\"3950\" data-favorite-title=\"Koni Hacmi ve Y\u00fczey Alan\u0131\" data-favorite-url=\"https:\/\/wpcalc.com\/tr\/matematik\/koni-hacim-yuzey-alani-hesaplama\/\" data-favorite-excerpt=\"Dik dairesel bir koninin hacmini, ana do\u011fru uzunlu\u011funu, yan y\u00fczey alan\u0131n\u0131, taban alan\u0131n\u0131 ve toplam y\u00fczey alan\u0131n\u0131 hesaplay\u0131n. Yar\u0131\u00e7ap\u0131 ve y\u00fcksekli\u011fi ya da ana do\u011fru uzunlu\u011funu girin.\" aria-label=\"Favorilere ekle\" data-favorite-icon=\"icon icon-geometry\">\n    <span class=\"icon icon-shape-star-empty\" aria-hidden=\"true\"><\/span>\n  <\/button>\n  <div class=\"calcdash-favorite__tip\" aria-hidden=\"true\">\n   <span class=\"favorite-tooltip\" id=\"favorite-tooltip\"><\/span>\n  <\/div>\n  <span class=\"sr-only\" role=\"status\" id=\"favorite-status\"><\/span>\n<\/div><\/div><form action=\"https:\/\/wpcalc.com\/tr\/matematik\/koni-hacim-yuzey-alani-hesaplama\/\" method=\"POST\" class=\"calculator\" id=\"calculator-3950\" data-post=\"3950\"><fieldset class=\"fieldset-input is-2\"><legend class=\"sr-only\">Giri\u015f alanlar\u0131<\/legend><div class=\"field has-term\" id=\"input-1\"><label for=\"field-1\">Yar\u0131\u00e7ap (r)<\/label><div class=\"term\">r<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><div class=\"field-group\"><input type=\"text\" name=\"yarap_r\" id=\"field-1\" aria-describedby=\"calc-info-1\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" placeholder=\"3\" min=\"0\" value=\"3\"\/><div class=\"grid grid-cols-1\"><select id=\"field-2\" name=\"birim\" aria-label=\"Birim\"><option value=\"m\">m<\/option><option value=\"cm\" selected>cm<\/option><option value=\"mm\">mm<\/option><option value=\"ft\">ft<\/option><option value=\"in\">in<\/option><\/select><svg class=\"pointer-events-none col-start-1 row-start-1 mr-2 size-5 self-center justify-self-end text-gray-500 sm:size-4\" viewBox=\"0 0 16 16\" fill=\"currentColor\" aria-hidden=\"true\" data-slot=\"icon\">\n              <path fill-rule=\"evenodd\" d=\"M4.22 6.22a.75.75 0 0 1 1.06 0L8 8.94l2.72-2.72a.75.75 0 1 1 1.06 1.06l-3.25 3.25a.75.75 0 0 1-1.06 0L4.22 7.28a.75.75 0 0 1 0-1.06Z\" clip-rule=\"evenodd\" \/>\n            <\/svg><\/div><\/div><small id=\"calc-info-1\">Dairesel taban\u0131n yar\u0131\u00e7ap\u0131.<\/small><\/div><div class=\"field\" id=\"input-2\"><label for=\"field-3\">\u0130kinci \u00f6l\u00e7\u00fc<\/label><div class=\"grid grid-cols-1\"><select id=\"field-3\" name=\"kinci_l\"><option value=\"height\" selected>Y\u00fckseklik (h)<\/option><option value=\"slant\">Ana do\u011fru uzunlu\u011fu (l)<\/option><\/select><svg class=\"pointer-events-none col-start-1 row-start-1 mr-2 size-5 self-center justify-self-end text-gray-500 sm:size-4\" viewBox=\"0 0 16 16\" fill=\"currentColor\" aria-hidden=\"true\" data-slot=\"icon\">\n              <path fill-rule=\"evenodd\" d=\"M4.22 6.22a.75.75 0 0 1 1.06 0L8 8.94l2.72-2.72a.75.75 0 1 1 1.06 1.06l-3.25 3.25a.75.75 0 0 1-1.06 0L4.22 7.28a.75.75 0 0 1 0-1.06Z\" clip-rule=\"evenodd\" \/>\n            <\/svg><\/div><\/div><div class=\"field has-term\" id=\"input-3\"><label for=\"field-4\">Y\u00fckseklik (h)<\/label><div class=\"term\">h<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><div class=\"field-group\"><input type=\"text\" name=\"ykseklik_h\" id=\"field-4\" aria-describedby=\"calc-info-4\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" placeholder=\"4\" min=\"0\" value=\"4\"\/><div class=\"grid grid-cols-1\"><select id=\"field-5\" name=\"birim\" aria-label=\"Birim\"><option value=\"m\">m<\/option><option value=\"cm\" selected>cm<\/option><option value=\"mm\">mm<\/option><option value=\"ft\">ft<\/option><option value=\"in\">in<\/option><\/select><svg class=\"pointer-events-none col-start-1 row-start-1 mr-2 size-5 self-center justify-self-end text-gray-500 sm:size-4\" viewBox=\"0 0 16 16\" fill=\"currentColor\" aria-hidden=\"true\" data-slot=\"icon\">\n              <path fill-rule=\"evenodd\" d=\"M4.22 6.22a.75.75 0 0 1 1.06 0L8 8.94l2.72-2.72a.75.75 0 1 1 1.06 1.06l-3.25 3.25a.75.75 0 0 1-1.06 0L4.22 7.28a.75.75 0 0 1 0-1.06Z\" clip-rule=\"evenodd\" \/>\n            <\/svg><\/div><\/div><small id=\"calc-info-4\">Tabandan tepe noktas\u0131na olan dik uzakl\u0131k.<\/small><\/div><div class=\"field has-term\" id=\"input-4\" hidden><label for=\"field-6\">Ana do\u011fru uzunlu\u011fu (l)<\/label><div class=\"term\">l<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><div class=\"field-group\"><input type=\"text\" name=\"ana_doru_uzunluu_l\" id=\"field-6\" aria-describedby=\"calc-info-6\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" placeholder=\"5\" min=\"0\" value=\"5\"\/><div class=\"grid grid-cols-1\"><select id=\"field-7\" name=\"birim\" aria-label=\"Birim\"><option value=\"m\">m<\/option><option value=\"cm\" selected>cm<\/option><option value=\"mm\">mm<\/option><option value=\"ft\">ft<\/option><option value=\"in\">in<\/option><\/select><svg class=\"pointer-events-none col-start-1 row-start-1 mr-2 size-5 self-center justify-self-end text-gray-500 sm:size-4\" viewBox=\"0 0 16 16\" fill=\"currentColor\" aria-hidden=\"true\" data-slot=\"icon\">\n              <path fill-rule=\"evenodd\" d=\"M4.22 6.22a.75.75 0 0 1 1.06 0L8 8.94l2.72-2.72a.75.75 0 1 1 1.06 1.06l-3.25 3.25a.75.75 0 0 1-1.06 0L4.22 7.28a.75.75 0 0 1 0-1.06Z\" clip-rule=\"evenodd\" \/>\n            <\/svg><\/div><\/div><small id=\"calc-info-6\">Taban\u0131n kenar\u0131ndan tepe noktas\u0131na y\u00fczey \u00fczerindeki uzakl\u0131k.<\/small><\/div><\/fieldset><div class=\"buttons\"><button type=\"submit\" data-text=\"Yeniden hesapla\" id=\"calculate-button\" data-post=\"3950\">Hesapla<\/button><button type=\"reset\">S\u0131f\u0131rla<\/button><\/div><div class=\"field is-checkbox hidden!\" id=\"field-auto-calc\"><input type=\"checkbox\" id=\"auto-calc\"><label for=\"auto-calc\">Otomatik hesapla<\/label><small>Etkinle\u015ftirilirse, herhangi bir de\u011feri de\u011fi\u015ftirdi\u011finizde sonu\u00e7 otomatik olarak g\u00fcncellenir.<\/small><\/div><div class=\"fieldset-result is-hidden\" aria-labelledby=\"result-title\" aria-live=\"polite\" role=\"region\"> <h3 class=\"result-title bg-gradient-to-r from-primary-50 to-gray-50 dark:from-primary-900 dark:to-gray-800\" id=\"result-title\"><span class=\"icon icon-s-pulse\" aria-hidden=\"true\"><\/span> Koniniz<\/h3><div class=\"result-box\"><div class=\"field-result\" id=\"output-1\"><span class=\"field-title\"><span>Hacim<\/span><span class=\"result-term\">V<\/span><\/span><span class=\"field-value\" id=\"result-1\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Sonucu kopyala\" aria-label=\"Sonucu kopyala\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result\" id=\"output-2\"><span class=\"field-title\"><span>Y\u00fckseklik (h)<\/span><span class=\"result-term\">h<\/span><\/span><span class=\"field-value\" id=\"result-2\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Sonucu kopyala\" aria-label=\"Sonucu kopyala\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result\" id=\"output-3\"><span class=\"field-title\"><span>Ana do\u011fru uzunlu\u011fu<\/span><span class=\"result-term\">l<\/span><\/span><span class=\"field-value\" id=\"result-3\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Sonucu kopyala\" aria-label=\"Sonucu kopyala\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result\" id=\"output-4\"><span class=\"field-title\"><span>Yan y\u00fczey alan\u0131<\/span><span class=\"result-term\">A_L<\/span><\/span><span class=\"field-value\" id=\"result-4\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Sonucu kopyala\" aria-label=\"Sonucu kopyala\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result\" id=\"output-5\"><span class=\"field-title\"><span>Taban alan\u0131<\/span><span class=\"result-term\">A_B<\/span><\/span><span class=\"field-value\" id=\"result-5\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Sonucu kopyala\" aria-label=\"Sonucu kopyala\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result\" id=\"output-6\"><span class=\"field-title\"><span>Toplam y\u00fczey alan\u0131<\/span><span class=\"result-term\">A<\/span><\/span><span class=\"field-value\" id=\"result-6\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Sonucu kopyala\" aria-label=\"Sonucu kopyala\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result is-column\" id=\"output-7\"><span class=\"field-title\"><span>Hesaplama ad\u0131mlar\u0131<\/span><\/span><span class=\"field-value\" id=\"result-7\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Sonucu kopyala\" aria-label=\"Sonucu kopyala\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><\/div><div class=\"result-actions\"><button type=\"button\" class=\"copy-link\"><svg viewBox=\"0 0 20 20\" fill=\"currentColor\" aria-hidden=\"true\"><path d=\"M12.232 4.232a2.5 2.5 0 0 1 3.536 3.536l-1.225 1.224a.75.75 0 0 0 1.061 1.06l1.224-1.224a4 4 0 0 0-5.656-5.656l-3 3a4 4 0 0 0 .225 5.865.75.75 0 0 0 .977-1.138 2.5 2.5 0 0 1-.142-3.667l3-3Z\"\/><path d=\"M11.603 7.963a.75.75 0 0 0-.977 1.138 2.5 2.5 0 0 1 .142 3.667l-3 3a2.5 2.5 0 0 1-3.536-3.536l1.225-1.224a.75.75 0 0 0-1.061-1.06l-1.224 1.224a4 4 0 1 0 5.656 5.656l3-3a4 4 0 0 0-.225-5.865Z\"\/><\/svg><span class=\"copy-link__text\">Bu hesaplaman\u0131n ba\u011flant\u0131s\u0131n\u0131 kopyala<\/span><\/button><span class=\"sr-only\" role=\"status\" id=\"copy-link-status\"><\/span><\/div><\/div><a href=\"#respond\" class=\"hidden transition-opacity duration-300 opacity-0 w-50 text-sm justify-center items-center gap-2 px-4 py-2 rounded bg-gray-200 text-gray-700 hover:bg-gray-300\" id=\"leave-comment\"><span class=\"icon icon-comments\" aria-hidden=\"true\"><\/span>Yorum b\u0131rak<\/a><\/form><\/section><section id=\"calc-reactions\" class=\"not-prose hidden my-12 bg-gradient-to-r from-primary-50 to-gray-50 border border-indigo-100 rounded-xl px-6 py-4 shadow-sm\" data-post=\"3950\" aria-live=\"polite\" aria-labelledby=\"calc-reactions-title\"><p id=\"calc-reactions-title\" class=\"text-sm text-gray-500 text-center mb-2\">Bu sonu\u00e7 hakk\u0131nda ne d\u00fc\u015f\u00fcn\u00fcyorsunuz?<\/p><div role=\"group\" aria-labelledby=\"calc-reactions-title\" class=\"grid grid-cols-3 sm:flex sm:flex-row sm:justify-around gap-4 sm:items-center sm:flex-wrap\"><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"like\"><span class=\"reaction-count\" data-reaction-count=\"like\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude00 <\/span><span class=\"reaction-description font-medium\">Be\u011fendim <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"helpful\"><span class=\"reaction-count\" data-reaction-count=\"helpful\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\udca1 <\/span><span class=\"reaction-description font-medium\">Faydal\u0131 <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"confused\"><span class=\"reaction-count\" data-reaction-count=\"confused\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude15 <\/span><span class=\"reaction-description font-medium\">Kafam kar\u0131\u015ft\u0131 <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"disappointed\"><span class=\"reaction-count\" data-reaction-count=\"disappointed\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude1e <\/span><span class=\"reaction-description font-medium\">Hayal k\u0131r\u0131kl\u0131\u011f\u0131 <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"inaccurate\"><span class=\"reaction-count\" data-reaction-count=\"inaccurate\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\u274c <\/span><span class=\"reaction-description font-medium\">Hatal\u0131 <\/span><\/button><\/div><div id=\"reaction-message\" class=\"hidden mt-8 rounded-md border border-primary-100 bg-white\/50 backdrop-blur-sm px-4 py-2 text-sm text-center shadow-sm\"><\/div><\/section><div class=\"calcdash-ad not-prose calcdash-ad--calc_result calcdash-ad--in-article\"><ins class=\"adsbygoogle\" style=\"display:block\" data-ad-client=\"ca-pub-1721569815777345\" data-ad-slot=\"6317458308\" data-ad-layout=\"in-article\" data-ad-format=\"fluid\"><\/ins><script>(adsbygoogle = window.adsbygoogle || []).push({});<\/script><\/div>\n<style id=\"wpcoderpro-inline-1\">.formula-box {\r\n\tborder-bottom: none !important;\r\n}<\/style><section class=\"formula-box\" aria-labelledby=\"formula-title\">\r\n\t<div id=\"formula-title\" class=\"not-prose font-display mb-4\"><span class=\"icon icon-formula\" aria-hidden=\"true\"><\/span><h2>Koni hacim ve y\u00fczey alan\u0131 form\u00fclleri<\/h2><\/div>\r\n\t<figure class=\"not-prose formula\">\r\n\t\t<figcaption class=\"formula-title\">Form\u00fcl<\/figcaption>\r\n\t\t<div class=\"text-base text-gray-800\" id=\"formula\">\n\\[ V = \\frac{1}{3}\\pi r^2 h \\qquad l = \\sqrt{r^2 + h^2} \\qquad h = \\sqrt{l^2 - r^2} \\\\\n A_L = \\pi r l \\qquad A_B = \\pi r^2 \\qquad A = \\pi r (r + l) \\]\n<\/div>\r\n\t<\/figure>\r\n\t<\/p>\n<p><strong>Buradaki g\u00f6sterimler:<\/strong><\/p>\n<ul>\n<li>\\(r\\) \u2014 dairesel taban\u0131n yar\u0131\u00e7ap\u0131<\/li>\n<li>\\(h\\) \u2014 tabandan tepe noktas\u0131na kadar dik (dikey) y\u00fckseklik<\/li>\n<li>\\(l\\) \u2014 ana do\u011fru uzunlu\u011fu; taban kenar\u0131ndan tepe noktas\u0131na y\u00fczey boyunca \u00f6l\u00e7\u00fclen mesafe<\/li>\n<li>\\(V\\) \u2014 hacim<\/li>\n<li>\\(A_L\\) \u2014 yan y\u00fczey alan\u0131<\/li>\n<li>\\(A_B\\) \u2014 taban alan\u0131<\/li>\n<li>\\(A\\) \u2014 toplam y\u00fczey alan\u0131 (yan y\u00fczey + taban)<\/li>\n<\/ul>\n<p>Bu form\u00fcller, ekseni taban\u0131na dik olan dik dairesel koniyi tan\u0131mlar. Y\u00fckseklik ile ana do\u011fru uzunlu\u011fu Pisagor teoremiyle birbirine ba\u011fl\u0131d\u0131r; bu y\u00fczden birini bilmek, di\u011ferini bulmak i\u00e7in yeterlidir.<\/p>\n<p>\r\n<\/section>\n<style id=\"wpcoderpro-inline-2\">.calculation-box {\r\n\tborder-bottom: none !important;\r\n}<\/style><section id=\"calculation\" class=\"calculation-box\" aria-labelledby=\"calculation-title\">\r\n\t<div id=\"calculation-title\" class=\"not-prose font-display\"><span class=\"icon icon-unordered-list\" aria-hidden=\"true\"><\/span><h2>Koni hacmi ve y\u00fczey alan\u0131 \u2014 hesaplama \u00f6rne\u011fi<\/h2><\/div>\r\n\r\n<\/p>\n<p><strong>\u00d6rnek:<\/strong> taban yar\u0131\u00e7ap\u0131 3 cm, dik y\u00fcksekli\u011fi 4 cm olan bir koni (hesaplay\u0131c\u0131n\u0131n varsay\u0131lan de\u011ferleri).<\/p>\n<p>\\[ l = \\sqrt{r^2 + h^2} = \\sqrt{3^2 + 4^2} = \\sqrt{25} = 5 \\text{ cm} \\]<\/p>\n<p>\\[ V = \\frac{1}{3}\\pi r^2 h = \\frac{1}{3}\\pi \\cdot 3^2 \\cdot 4 = 12\\pi \\approx 37.699 \\text{ cm}^3 \\]<\/p>\n<p>\\[ A_L = \\pi r l = \\pi \\cdot 3 \\cdot 5 = 15\\pi \\approx 47.124 \\text{ cm}^2 \\]<\/p>\n<p>\\[ A_B = \\pi r^2 = \\pi \\cdot 3^2 = 9\\pi \\approx 28.274 \\text{ cm}^2 \\]<\/p>\n<p>\\[ A = A_L + A_B = 15\\pi + 9\\pi = 24\\pi \\approx 75.398 \\text{ cm}^2 \\]<\/p>\n<p><strong>Sonu\u00e7:<\/strong> koninin hacmi yakla\u015f\u0131k 37,699 cm\u00b3, ana do\u011fru uzunlu\u011fu 5 cm, yan y\u00fczey alan\u0131 47,124 cm\u00b2, taban alan\u0131 28,274 cm\u00b2 ve toplam y\u00fczey alan\u0131 75,398 cm\u00b2'dir.<\/p>\n<p>\n\r\n<\/section>\n<h2>Hesaplay\u0131c\u0131 nas\u0131l kullan\u0131l\u0131r?<\/h2>\n<ol>\n<li>Dairesel taban\u0131n <strong>Yar\u0131\u00e7ap\u0131n\u0131 (r)<\/strong> girin ve birimini se\u00e7in (m, cm, mm, ft veya in\u00e7).<\/li>\n<li><strong>\u0130kinci \u00f6l\u00e7\u00fcy\u00fc<\/strong> se\u00e7in: dik y\u00fcksekli\u011fi biliyorsan\u0131z <em>Y\u00fckseklik (h)<\/em>, yan y\u00fczey boyunca \u00f6l\u00e7\u00fclen mesafeyi biliyorsan\u0131z <em>Ana do\u011fru uzunlu\u011fu (l)<\/em> se\u00e7ene\u011fini i\u015faretleyin.<\/li>\n<li>Ekranda beliren alana de\u011feri yaz\u0131n \u2014 <strong>Y\u00fckseklik (h)<\/strong> veya <strong>Ana do\u011fru uzunlu\u011fu (l)<\/strong> \u2014 ve birimini se\u00e7in. \u0130ki birimin ayn\u0131 olmas\u0131 gerekmez; hesaplay\u0131c\u0131 bunlar\u0131 otomatik olarak d\u00f6n\u00fc\u015ft\u00fcr\u00fcr.<\/li>\n<li>Sonu\u00e7lar\u0131 okuyun: <strong>Hacim<\/strong>, <strong>Y\u00fckseklik (h)<\/strong>, <strong>Ana do\u011fru uzunlu\u011fu<\/strong>, <strong>Yan y\u00fczey alan\u0131<\/strong>, <strong>Taban alan\u0131<\/strong> ve <strong>Toplam y\u00fczey alan\u0131<\/strong>; t\u00fcm\u00fc yar\u0131\u00e7ap\u0131n birimiyle ifade edilir. Ayr\u0131ca ad\u0131m ad\u0131m \u00e7\u00f6z\u00fcm de g\u00f6sterilir.<\/li>\n<\/ol>\n<h2>Dik dairesel koni nedir?<\/h2>\n<p>Dik dairesel koni; dairesel bir taban\u0131 ve tam taban\u0131n merkezinin \u00fcst\u00fcnde yer alan tek bir tepe noktas\u0131 (u\u00e7) olan \u00fc\u00e7 boyutlu bir geometrik cismidir. Onu tan\u0131mlamak i\u00e7in yayg\u0131n olarak iki farkl\u0131 uzunluk \u00f6l\u00e7\u00fcs\u00fc kullan\u0131l\u0131r ve bunlar\u0131n kar\u0131\u015ft\u0131r\u0131lmas\u0131 en s\u0131k yap\u0131lan hata kayna\u011f\u0131d\u0131r.<\/p>\n<p><strong>Y\u00fckseklik<\/strong> \\(h\\), taban\u0131n merkezinden tepe noktas\u0131na kadar d\u00fcz ve dik mesafedir. <strong>Ana do\u011fru uzunlu\u011fu<\/strong> \\(l\\) ise taban kenar\u0131ndaki herhangi bir noktadan tepe noktas\u0131na, e\u011fik y\u00fczey boyunca \u00f6l\u00e7\u00fclen mesafedir. Ana do\u011fru uzunlu\u011fu her zaman ikisinin uzun olan\u0131d\u0131r (yar\u0131\u00e7ap s\u0131f\u0131rken y\u00fcksekli\u011fe e\u015fit olur) ve Pisagor teoremiyle ili\u015fkilidirler: \\( l^2 = r^2 + h^2 \\). Hesaplay\u0131c\u0131n\u0131n bunlardan yaln\u0131zca birine ihtiya\u00e7 duymas\u0131n\u0131n nedeni budur \u2014 di\u011feri otomatik olarak hesaplan\u0131r.<\/p>\n<p>\u00dc\u00e7 ayr\u0131 alan de\u011feri raporlan\u0131r, \u00e7\u00fcnk\u00fc bunlar farkl\u0131 pratik sorulara yan\u0131t verir. <strong>Taban alan\u0131<\/strong>, dairesel taban\u0131n ne kadar malzeme kaplad\u0131\u011f\u0131n\u0131 g\u00f6sterir. <strong>Yan y\u00fczey alan\u0131<\/strong> e\u011fik y\u00fczeyin alan\u0131d\u0131r; \u00f6rne\u011fin konik bir \u00e7ad\u0131r\u0131n duvar\u0131nda kullan\u0131lan kuma\u015f miktar\u0131 ya da konik bir kab\u0131n etraf\u0131na sar\u0131lan etiket bu alan kadard\u0131r. <strong>Toplam y\u00fczey alan\u0131<\/strong> ise ikisinin toplam\u0131d\u0131r ve koninin her yan\u0131 kaplanacak ya da boyanacaksa \u2014 \u00f6rne\u011fin \u00fczerinde d\u00fcz bir dondurma tabakas\u0131 olan bir k\u00fclah \u2014 gereken budur.<\/p>\n<p>Hacmi yorumlamak kolayd\u0131r: koninin i\u00e7ine ald\u0131\u011f\u0131 bo\u015flu\u011fun miktar\u0131d\u0131r. Ak\u0131lda tutulmaya de\u011fer bir bilgi: bir koni, ayn\u0131 taban yar\u0131\u00e7ap\u0131na ve y\u00fcksekli\u011fe sahip bir silindirin hacminin tam \u00fc\u00e7te birini al\u0131r \u2014 form\u00fcldeki \\( \\tfrac{1}{3} \\) \u00e7arpan\u0131 budur.<\/p>\n<h2>Varsay\u0131mlar, s\u0131n\u0131rlamalar ve ipu\u00e7lar\u0131<\/h2>\n<ul>\n<li>Hesaplay\u0131c\u0131, tepe noktas\u0131 tam taban\u0131n merkezinin \u00fcst\u00fcnde bulunan bir <strong>dik dairesel koni<\/strong> varsayar. E\u011fik koniler (kay\u0131k tepe noktal\u0131) i\u00e7in ana do\u011fru uzunlu\u011fu farkl\u0131 form\u00fcller gerektirir ve bu durum kapsam d\u0131\u015f\u0131d\u0131r.<\/li>\n<li>Ana do\u011fru uzunlu\u011fu girerseniz, bu de\u011fer <strong>en az yar\u0131\u00e7ap kadar b\u00fcy\u00fck olmal\u0131d\u0131r<\/strong> (\\( l \\ge r \\)). Yar\u0131\u00e7aptan k\u0131sa bir ana do\u011fru uzunlu\u011fu ger\u00e7ek bir koniyi tan\u0131mlamaz ve hesaplay\u0131c\u0131 hata g\u00f6sterir.<\/li>\n<li>Birimler \u00f6nemlidir: hacim k\u00fcbik birimlerle (cm\u00b3, in\u00e7\u00b3, \u2026), alanlar ise kare birimlerle (cm\u00b2, in\u00e7\u00b2, \u2026) verilir; her zaman yar\u0131\u00e7ap i\u00e7in se\u00e7ti\u011finiz birime uyar. Y\u00fckseklik farkl\u0131 bir birimdeyse \u00f6nce d\u00f6n\u00fc\u015ft\u00fcr\u00fcl\u00fcr \u2014 bunu hesaplama ad\u0131mlar\u0131nda g\u00f6rebilirsiniz.<\/li>\n<li>T\u00fcm giri\u015fler pozitif olmal\u0131d\u0131r. S\u0131f\u0131r yar\u0131\u00e7ap veya s\u0131f\u0131r y\u00fckseklik koniyi bir disk ya da bir do\u011fru par\u00e7as\u0131na indirger ve hacim s\u0131f\u0131r \u00e7\u0131kar.<\/li>\n<li>Sonu\u00e7lar \u00fc\u00e7 ondal\u0131k basama\u011fa yuvarlan\u0131r; \\(\\pi\\) 3,14159 olarak al\u0131n\u0131r ve pratikte neredeyse her ama\u00e7 i\u00e7in yeterli do\u011fruluktad\u0131r.<\/li>\n<\/ul>\n<p>Elde hesaplarken h\u0131zl\u0131 bir sa\u011flama: yar\u0131\u00e7ap sabitken yan y\u00fczey alan\u0131 \\( A_L = \\pi r l \\), ana do\u011fru uzunlu\u011fuyla do\u011fru orant\u0131l\u0131 bi\u00e7imde b\u00fcy\u00fcr \u2014 bu, <a href=\"https:\/\/wpcalc.com\/tr\/matematik\/dogru-oranti\/\">do\u011fru orant\u0131<\/a> konusunun bir \u00f6rne\u011fidir. Y\u00fckseklik\u2013ana do\u011fru uzunlu\u011fu ili\u015fkilerindeki karek\u00f6kler ise \\(n = 2\\) i\u00e7in <a href=\"https:\/\/wpcalc.com\/tr\/matematik\/ninci-kok\/\">n'inci k\u00f6k<\/a> alman\u0131n \u00f6zel bir durumudur.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Dik dairesel bir koninin hacmini, ana do\u011fru uzunlu\u011funu, yan y\u00fczey alan\u0131n\u0131, taban alan\u0131n\u0131 ve toplam y\u00fczey alan\u0131n\u0131 hesaplay\u0131n. Yar\u0131\u00e7ap\u0131 ve y\u00fcksekli\u011fi ya da ana do\u011fru uzunlu\u011funu girin.<\/p>\n","protected":false},"author":3168,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[8],"tags":[42],"class_list":["post-3950","post","type-post","status-publish","format-standard","hentry","category-matematik","tag-geometri"],"acf":[],"_links":{"self":[{"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/posts\/3950","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/users\/3168"}],"replies":[{"embeddable":true,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/comments?post=3950"}],"version-history":[{"count":0,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/posts\/3950\/revisions"}],"wp:attachment":[{"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/media?parent=3950"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/categories?post=3950"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/tags?post=3950"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}