{"id":6425,"date":"2010-12-25T17:51:52","date_gmt":"2010-12-25T17:51:52","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=6425"},"modified":"2022-01-19T19:32:47","modified_gmt":"2022-01-19T19:32:47","slug":"um-cone-de-revolucao-2","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=6425","title":{"rendered":"Um cone de revolu\u00e7\u00e3o"},"content":{"rendered":"<p><ul id='GTTabs_ul_6425' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_6425' class='GTTabs_curr'><a  id=\"6425_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_6425' ><a  id=\"6425_1\" onMouseOver=\"GTTabsShowLinks('Resolu\u00e7\u00e3o'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Resolu\u00e7\u00e3o<\/a><\/li>\n<\/ul>\n\n<div class='GTTabs_divs GTTabs_curr_div' id='GTTabs_0_6425'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Um cone de revolu\u00e7\u00e3o com 8 dm de altura tem por base um c\u00edrculo com 6 dm de raio.<\/p>\n<p>Quanto mede a sua geratriz?<\/p>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_6425' onClick='GTTabs_show(1,6425)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_6425'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/12\/cone_04.gif\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"6426\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=6426\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/12\/cone_04.gif\" data-orig-size=\"311,264\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;}\" data-image-title=\"Cone\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/12\/cone_04.gif\" class=\"alignright size-medium wp-image-6426\" title=\"Cone\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/12\/cone_04-300x254.gif\" alt=\"\" width=\"240\" height=\"203\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/12\/cone_04-300x254.gif 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/12\/cone_04-150x127.gif 150w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/12\/cone_04.gif 311w\" sizes=\"auto, (max-width: 240px) 100vw, 240px\" \/><\/a>Aplicando o teorema de Pit\u00e1goras, temos:<\/p>\n<p style=\"text-align: center;\">$\\begin{array}{*{35}{l}}<br \/>\n{{g}^{2}}={{6}^{2}}+{{8}^{2}} &amp; \\Leftrightarrow\u00a0 &amp; {{g}^{2}}=36+64\u00a0 \\\\<br \/>\n{} &amp; \\Leftrightarrow\u00a0 &amp; {{g}^{2}}=100\u00a0 \\\\<br \/>\n{} &amp; Logo, &amp; g=10\u00a0 \\\\<br \/>\n\\end{array}$<\/p>\n<\/p>\n<p>\u00a0A geratriz do cone tem 10 dm de comprimento.<\/p><\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_6425' onClick='GTTabs_show(0,6425)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Um cone de revolu\u00e7\u00e3o com 8 dm de altura tem por base um c\u00edrculo com 6 dm de raio. Quanto mede a sua geratriz? Resolu\u00e7\u00e3o &gt;&gt; Resolu\u00e7\u00e3o &lt;&lt; Enunciado<\/p>\n","protected":false},"author":1,"featured_media":20683,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[100,97,112],"tags":[424,67,118],"series":[],"class_list":["post-6425","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-8--ano","category-aplicando","category-decomposicao-de-figuras-teorema-de-pitagoras","tag-8-o-ano","tag-geometria","tag-teorema-de-pitagoras"],"views":3313,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/12\/8V1Pag039-5_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/6425","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=6425"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/6425\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/20683"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=6425"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=6425"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=6425"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=6425"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}