{"id":4102,"date":"2026-10-20T12:31:38","date_gmt":"2026-10-20T11:31:38","guid":{"rendered":"https:\/\/wpcalc.com\/tr\/matematik\/silindir-hacim-hesaplama\/"},"modified":"2026-10-20T12:31:38","modified_gmt":"2026-10-20T11:31:38","slug":"silindir-hacim-hesaplama","status":"publish","type":"post","link":"https:\/\/wpcalc.com\/tr\/matematik\/silindir-hacim-hesaplama\/","title":{"rendered":"Silindir hacmi hesaplama arac\u0131"},"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\">Silindirin hacmini, \u00f6l\u00e7\u00fclerini ve y\u00fczey alan\u0131n\u0131 hesaplay\u0131n<\/h2><\/div><div class=\"calcdash-favorite group\">\n  <button type=\"button\" class=\"favorite\" id=\"favorite\" data-favorite-id=\"4102\" data-favorite-title=\"Silindir hacmi\" data-favorite-url=\"https:\/\/wpcalc.com\/tr\/matematik\/silindir-hacim-hesaplama\/\" data-favorite-excerpt=\"Dolu veya i\u00e7i bo\u015f bir silindirin hacmini, y\u00fcksekli\u011fini ya da yar\u0131\u00e7ap\u0131n\u0131 hesaplay\u0131n. Boyutlar\u0131n\u0131 veya bilinen hacmini girin, bir uzunluk birimi se\u00e7in ve y\u00fczey alanlar\u0131 ile hacim d\u00f6n\u00fc\u015f\u00fcmlerini g\u00f6r\u00fcn.\" 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\/silindir-hacim-hesaplama\/\" method=\"POST\" class=\"calculator\" id=\"calculator-4102\" data-post=\"4102\"><fieldset class=\"fieldset-input is-2\"><legend class=\"sr-only\">Giri\u015f alanlar\u0131<\/legend><div class=\"field\" id=\"input-1\"><label for=\"field-1\">Hesapla<\/label><div class=\"grid grid-cols-1\"><select id=\"field-1\" name=\"hesapla\"><option value=\"volume\" selected>Hacim<\/option><option value=\"height\">Hacimden y\u00fckseklik<\/option><option value=\"radius\">Hacim ve y\u00fckseklikten yar\u0131\u00e7ap<\/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\" id=\"input-2\"><label for=\"field-2\">Silindir t\u00fcr\u00fc<\/label><div class=\"grid grid-cols-1\"><select id=\"field-2\" name=\"silindir_tr\"><option value=\"solid\" selected>Dolu silindir<\/option><option value=\"hollow\">\u0130\u00e7i bo\u015f silindir (boru veya t\u00fcp)<\/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\" id=\"input-3\"><label for=\"field-3\">Dolu silindir \u00f6l\u00e7\u00fcm\u00fc<\/label><div class=\"grid grid-cols-1\"><select id=\"field-3\" name=\"dolu_silindir_lm\"><option value=\"radius\" selected>Yar\u0131\u00e7ap<\/option><option value=\"diameter\">\u00c7ap<\/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-4\"><label for=\"field-4\">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><input type=\"text\" name=\"yarap_r\" id=\"field-4\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" min=\"0\" value=\"5\"\/><\/div><div class=\"field has-term\" id=\"input-5\" hidden><label for=\"field-5\">\u00c7ap (d)<\/label><div class=\"term\">d<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"text\" name=\"ap_d\" id=\"field-5\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" min=\"0\" value=\"10\"\/><\/div><div class=\"field has-term\" id=\"input-6\" hidden><label for=\"field-6\">D\u0131\u015f \u00e7ap (D)<\/label><div class=\"term\">D<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"text\" name=\"d_ap_d\" id=\"field-6\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" min=\"0\" value=\"10\"\/><\/div><div class=\"field has-term\" id=\"input-7\" hidden><label for=\"field-7\">\u0130\u00e7 \u00e7ap (d)<\/label><div class=\"term\">d<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"text\" name=\"_ap_d\" id=\"field-7\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" min=\"0\" value=\"6\"\/><\/div><div class=\"field has-term\" id=\"input-8\"><label for=\"field-8\">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><input type=\"text\" name=\"ykseklik_h\" id=\"field-8\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" min=\"0\" value=\"12\"\/><\/div><div class=\"field has-term\" id=\"input-9\" hidden><label for=\"field-9\">Bilinen hacim (V)<\/label><div class=\"term\">V<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"text\" name=\"bilinen_hacim_v\" id=\"field-9\" aria-describedby=\"calc-info-9\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" min=\"0\" value=\"1000\"\/><small id=\"calc-info-9\">Hacmi a\u015fa\u011f\u0131da se\u00e7ilen k\u00fcbik birim cinsinden girin.<\/small><\/div><div class=\"field\" id=\"input-10\"><label for=\"field-10\">Uzunluk birimi<\/label><div class=\"grid grid-cols-1\"><select id=\"field-10\" name=\"uzunluk_birimi\"><option value=\"mm\">Milimetre (mm)<\/option><option value=\"cm\" selected>Santimetre (cm)<\/option><option value=\"m\">Metre (m)<\/option><option value=\"in\">\u0130n\u00e7 (in)<\/option><option value=\"ft\">Fit (ft)<\/option><option value=\"yd\">Yarda (yd)<\/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><\/fieldset><div class=\"buttons\"><button type=\"submit\" data-text=\"Yeniden hesapla\" id=\"calculate-button\" data-post=\"4102\">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> Silindir sonu\u00e7lar\u0131<\/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>Litre cinsinden hacim<\/span><\/span><span class=\"field-value\" id=\"result-2\" data-unit=\"L\"><\/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>ABD galonu cinsinden hacim<\/span><\/span><span class=\"field-value\" id=\"result-3\" data-unit=\"ABD gal\"><\/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>Fit k\u00fcp cinsinden hacim<\/span><\/span><span class=\"field-value\" id=\"result-4\" data-unit=\"ft\u00b3\"><\/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>Metrek\u00fcp cinsinden hacim<\/span><\/span><span class=\"field-value\" id=\"result-5\" data-unit=\"m\u00b3\"><\/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>Yan y\u00fczey alan\u0131<\/span><span class=\"result-term\">A\u2097<\/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\" id=\"output-7\"><span class=\"field-title\"><span>Toplam y\u00fczey alan\u0131<\/span><span class=\"result-term\">A\u209c<\/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 class=\"field-result\" id=\"output-8\"><span class=\"field-title\"><span>Yar\u0131\u00e7ap (boru i\u00e7in d\u0131\u015f yar\u0131\u00e7ap)<\/span><span class=\"result-term\">R<\/span><\/span><span class=\"field-value\" id=\"result-8\"><\/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-9\"><span class=\"field-title\"><span>\u00c7ap (boru i\u00e7in d\u0131\u015f \u00e7ap)<\/span><span class=\"result-term\">D<\/span><\/span><span class=\"field-value\" id=\"result-9\"><\/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-10\"><span class=\"field-title\"><span>Y\u00fckseklik<\/span><span class=\"result-term\">h<\/span><\/span><span class=\"field-value\" id=\"result-10\"><\/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-11\"><span class=\"field-title\"><span>\u00d6l\u00e7\u00fclerinizle form\u00fcl<\/span><\/span><span class=\"field-value\" id=\"result-11\"><\/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=\"4102\" 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>Silindir hacmi form\u00fcl\u00fc<\/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\\[\\begin{aligned}V_{\\text{dolu}}&amp;=\\pi r^{2}h &amp; V_{\\text{i\u00e7i bo\u015f}}&amp;=\\pi(R^{2}-r^{2})h\\\\h&amp;=\\frac{V}{\\pi r^{2}}\\ \\text{(dolu)} &amp; h&amp;=\\frac{V}{\\pi(R^{2}-r^{2})}\\ \\text{(i\u00e7i bo\u015f)}\\\\r&amp;=\\sqrt{\\frac{V}{\\pi h}}\\ \\text{(dolu)} &amp; R&amp;=\\sqrt{\\frac{V}{\\pi h}+r^{2}}\\ \\text{(i\u00e7i bo\u015f)}\\\\A_{\\mathrm{l,dolu}}&amp;=2\\pi rh &amp; A_{\\mathrm{l,bo\u015f}}&amp;=2\\pi h(R+r)\\\\A_{\\mathrm{t,dolu}}&amp;=A_{\\mathrm{l,dolu}}+2\\pi r^{2} &amp; A_{\\mathrm{t,bo\u015f}}&amp;=A_{\\mathrm{l,bo\u015f}}+2\\pi(R^{2}-r^{2})\\end{aligned}\\]\n<\/div>\r\n\t<\/figure>\r\n\t<\/p>\n<p><strong>Burada:<\/strong><\/p>\n<ul>\n<li>\\(V\\) \u2014 silindirin hacmi, birim k\u00fcp cinsinden<\/li>\n<li>\\(r\\) \u2014 dolu silindirin yar\u0131\u00e7ap\u0131 ya da i\u00e7i bo\u015f silindirin i\u00e7 yar\u0131\u00e7ap\u0131<\/li>\n<li>\\(R\\) \u2014 i\u00e7i bo\u015f silindirin d\u0131\u015f yar\u0131\u00e7ap\u0131<\/li>\n<li>\\(h\\) \u2014 silindirin y\u00fcksekli\u011fi<\/li>\n<li>\\(A_{\\mathrm{l}}\\) \u2014 yanal y\u00fczey alan\u0131, birim kare cinsinden<\/li>\n<li>\\(A_{\\mathrm{t}}\\) \u2014 toplam y\u00fczey alan\u0131, birim kare cinsinden<\/li>\n<\/ul>\n<p>Hacim, daire ya da halka bi\u00e7imli kesit alan\u0131n\u0131n y\u00fckseklikle \u00e7arp\u0131m\u0131d\u0131r. \u0130\u00e7i bo\u015f bir silindirde sonu\u00e7, i\u00e7 ve d\u0131\u015f y\u00fczeyler aras\u0131nda kalan malzemenin hacmidir; i\u00e7indeki bo\u015flu\u011fun hacmi de\u011fildir.<\/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>Silindir hacmi \u2013 hesaplama \u00f6rne\u011fi<\/h2><\/div>\r\n\r\n<\/p>\n<p><strong>\u00d6rnek:<\/strong> varsay\u0131lan ayarlarla, yar\u0131\u00e7ap\u0131 5 cm ve y\u00fcksekli\u011fi 12 cm olan dolu bir silindirin hacmini bulun.<\/p>\n<p>\\[V=\\pi r^{2}h=\\pi(5\\ \\mathrm{cm})^{2}(12\\ \\mathrm{cm})=300\\pi\\ \\mathrm{cm}^{3}\\approx942.477796\\ \\mathrm{cm}^{3}\\]<\/p>\n<p>E\u011fri y\u00fczeyin alan\u0131 \\(2\\pi(5)(12)=120\\pi\\approx376.991118\\ \\mathrm{cm}^{2}\\) olur. \u0130ki dairesel taban da eklendi\u011finde toplam y\u00fczey alan\u0131 \\(170\\pi\\approx534.070751\\ \\mathrm{cm}^{2}\\) olur.<\/p>\n<p><strong>Sonu\u00e7:<\/strong> hacim yakla\u015f\u0131k 942,478 cm\u00b3, ba\u015fka bir deyi\u015fle 0,942478 L'dir.<\/p>\n<p>\n\r\n<\/section>\n<h2>Hesaplama arac\u0131 nas\u0131l kullan\u0131l\u0131r?<\/h2>\n<ol>\n<li><strong>Hesaplay\u0131n<\/strong> alt\u0131nda <strong>Hacim<\/strong>, <strong>Hacimden y\u00fckseklik<\/strong> veya <strong>Hacim ve y\u00fckseklikten yar\u0131\u00e7ap<\/strong> se\u00e7ene\u011fini belirleyin. Hesaplama arac\u0131, bu se\u00e7im i\u00e7in gereken alanlar\u0131 g\u00f6sterir.<\/li>\n<li><strong>Silindir t\u00fcr\u00fc<\/strong>n\u00fc se\u00e7in: tam daire kesit i\u00e7in <strong>dolu silindir<\/strong>, halka bi\u00e7imli kesit i\u00e7in <strong>i\u00e7i bo\u015f silindir (boru veya t\u00fcp)<\/strong>.<\/li>\n<li>Dolu bir silindirde hacim ya da y\u00fckseklik hesaplarken <strong>Dolu silindir \u00f6l\u00e7\u00fcm\u00fc<\/strong> ile <strong>Yar\u0131\u00e7ap<\/strong> veya <strong>\u00c7ap<\/strong> se\u00e7imini yap\u0131n, ard\u0131ndan <strong>Yar\u0131\u00e7ap (r)<\/strong> veya <strong>\u00c7ap (d)<\/strong> de\u011ferini girin. \u0130\u00e7i bo\u015f bir silindirde ise bu alanlar g\u00f6r\u00fcnd\u00fc\u011f\u00fcnde <strong>D\u0131\u015f \u00e7ap (D)<\/strong> ve <strong>\u0130\u00e7 \u00e7ap (d)<\/strong> de\u011ferlerini girin. D\u0131\u015f \u00e7ap, i\u00e7 \u00e7aptan b\u00fcy\u00fck olmal\u0131d\u0131r.<\/li>\n<li>Hacim veya yar\u0131\u00e7ap hesaplarken <strong>Y\u00fckseklik (h)<\/strong> de\u011ferini girin. Y\u00fckseklik veya yar\u0131\u00e7ap hesaplarken <strong>Bilinen hacim (V)<\/strong> de\u011ferini girin. Bir t\u00fcp\u00fcn d\u0131\u015f yar\u0131\u00e7ap\u0131n\u0131 bulmak i\u00e7in ayr\u0131ca <strong>\u0130\u00e7 \u00e7ap (d)<\/strong> de\u011ferini girin.<\/li>\n<li><strong>Uzunluk birimi<\/strong>ni se\u00e7in. Girilen t\u00fcm uzunluklar bu birimi kullan\u0131r; <strong>Bilinen hacim (V)<\/strong> ise kar\u015f\u0131l\u0131k gelen k\u00fcp birimi kullan\u0131r; \u00f6rne\u011fin cm ve cm\u00b3. Hesaplanan boyutu, hacmi, y\u00fczey alanlar\u0131n\u0131 ve birim d\u00f6n\u00fc\u015f\u00fcmlerini <strong>Silindir sonu\u00e7lar\u0131<\/strong> b\u00f6l\u00fcm\u00fcnde bulabilirsiniz.<\/li>\n<\/ol>\n<h2>S\/TR<\/p>\n<h2>Silindir hacmi neyi ifade eder<\/h2>\n<p>Silindir hacmi, \u00fc\u00e7 boyutlu alan\u0131 \u00f6l\u00e7er. Dolu bir silindir i\u00e7in, y\u00fcksekli\u011fi boyunca dizilmi\u015f birbirinin ayn\u0131 daire kesitleri d\u00fc\u015f\u00fcn\u00fcn: her birinin alan\u0131 \\(\\pi r^{2}\\) oldu\u011fundan, y\u00fckseklikle \u00e7arp\u0131nca \\(\\pi r^{2}h\\) bulunur. \u00c7ap, dairenin t\u00fcm geni\u015fli\u011fine yay\u0131l\u0131r ve yar\u0131\u00e7ap\u0131n iki kat\u0131d\u0131r. \u00c7ap \u00f6l\u00e7t\u00fcyseniz hesaplama arac\u0131, bu de\u011feri form\u00fclde kullanmadan \u00f6nce ikiye b\u00f6lerek yar\u0131\u00e7apa \u00e7evirir.<\/p>\n<p>\u0130\u00e7i bo\u015f bir silindirde malzeme, ortadaki bo\u015flu\u011fun \u00e7evresini sarar. Kesiti bir halka bi\u00e7imindedir; bu y\u00fczden y\u00fckseklikle \u00e7arpmadan \u00f6nce d\u0131\u015f dairenin alan\u0131ndan i\u00e7 dairenin alan\u0131 \u00e7\u0131kar\u0131l\u0131r. Bir borudaki ya da t\u00fcpteki malzeme miktar\u0131n\u0131 kestirirken bu ayr\u0131m \u00f6nemlidir. Asl\u0131nda t\u00fcp\u00fcn <em>i\u00e7indeki<\/em> bo\u015flu\u011fun hacmini istiyorsan\u0131z, i\u00e7 yar\u0131\u00e7ap ve ilgili i\u00e7 uzunlukla \\(\\pi r^{2}h\\) hesaplay\u0131n; ekranda g\u00f6sterilen i\u00e7i bo\u015f silindir hacmi bu kapasiteyi temsil etmez.<\/p>\n<p>Bilinen bir hacimden geriye do\u011fru da hesaplayabilirsiniz. Belirli bir kesit i\u00e7in gereken y\u00fcksekli\u011fi bulmak \u00fczere <strong>Hacimden y\u00fckseklik<\/strong> se\u00e7ene\u011fini; dolu bir silindirin yar\u0131\u00e7ap\u0131n\u0131 ya da bir t\u00fcp\u00fcn <em>d\u0131\u015f<\/em> yar\u0131\u00e7ap\u0131n\u0131 bulmak \u00fczere <strong>Hacim ve y\u00fckseklikten yar\u0131\u00e7ap<\/strong> se\u00e7ene\u011fini kullan\u0131n. Sonu\u00e7, se\u00e7ilen uzunluk biriminden ba\u011f\u0131ms\u0131z olarak hacmi litre, ABD galonu, fit k\u00fcp ve metre k\u00fcp cinsinden de i\u00e7erir. Ana hacim sonucu ise se\u00e7ti\u011finiz birimin k\u00fcp bi\u00e7iminde kal\u0131r.<\/p>\n<h2>Y\u00fczey alan\u0131 ve \u00f6l\u00e7\u00fcm ipu\u00e7lar\u0131<\/h2>\n<p><strong>Yanal y\u00fczey alan\u0131<\/strong>, e\u011fri yan y\u00fcz\u00fcn alan\u0131d\u0131r. Dolu bir silindirde yaln\u0131zca d\u0131\u015ftaki e\u011fri y\u00fczeyi kapsar; i\u00e7i bo\u015f bir silindirde ise hem d\u0131\u015f hem i\u00e7 e\u011fri y\u00fczeyleri kapsar. <strong>Toplam y\u00fczey alan\u0131<\/strong>, dolu bir silindirin iki dairesel taban\u0131n\u0131 ya da bir t\u00fcp\u00fcn iki halka bi\u00e7imli ucunu buna ekler. Bunlar geometrik alanlard\u0131r; ger\u00e7ek bir nesnenin y\u00fczeyleri a\u00e7\u0131k, kapal\u0131 ya da ba\u015fka bir par\u00e7ayla birle\u015fik olabilir ve bu, ger\u00e7ekte ihtiya\u00e7 duydu\u011funuz alan\u0131 de\u011fi\u015ftirebilir. Y\u00fczey \u00f6l\u00e7\u00fcm\u00fcne odaklanan bir hesaplama i\u00e7in <a href=\"https:\/\/wpcalc.com\/tr\/matematik\/silindir-yuzey-alani-hesaplama\/\">Silindir y\u00fczey alan\u0131 hesaplama arac\u0131na<\/a> bak\u0131n.<\/p>\n<p>Pozitif \u00f6l\u00e7\u00fcler kullan\u0131n ve t\u00fcm uzunluklar\u0131 ayn\u0131 birimde tutun. \u00d6rne\u011fin, santimetre cinsinden bir y\u00fckseklikle birlikte boyutlar\u0131 girmeden \u00f6nce milimetreleri santimetreye d\u00f6n\u00fc\u015ft\u00fcr\u00fcn. \u00d6l\u00e7\u00fclerin, sabit daire kesitli d\u00fcz bir silindiri tan\u0131mlamas\u0131 gerekir; daralan (konik) bir kap <a href=\"https:\/\/wpcalc.com\/tr\/matematik\/koni-hacim-yuzey-alani-hesaplama\/\">koni hacim ve y\u00fczey alan\u0131 hesaplama arac\u0131<\/a> ile daha iyi modellenir. K\u00fcre bi\u00e7imli bir nesne i\u00e7in ise <a href=\"https:\/\/wpcalc.com\/en\/mathematics\/sphere-volume-and-surface-area-calculator\/\">k\u00fcre hacim ve y\u00fczey alan\u0131 hesaplama arac\u0131n\u0131<\/a> kullan\u0131n.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Dolu veya i\u00e7i bo\u015f bir silindirin hacmini, y\u00fcksekli\u011fini ya da yar\u0131\u00e7ap\u0131n\u0131 hesaplay\u0131n. Boyutlar\u0131n\u0131 veya bilinen hacmini girin, bir uzunluk birimi se\u00e7in ve y\u00fczey alanlar\u0131 ile hacim d\u00f6n\u00fc\u015f\u00fcmlerini g\u00f6r\u00fcn.<\/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-4102","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\/4102","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=4102"}],"version-history":[{"count":0,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/posts\/4102\/revisions"}],"wp:attachment":[{"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/media?parent=4102"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/categories?post=4102"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/tags?post=4102"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}