{"id":13958,"date":"2018-03-09T18:28:48","date_gmt":"2018-03-09T18:28:48","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=13958"},"modified":"2022-01-16T19:35:56","modified_gmt":"2022-01-16T19:35:56","slug":"uma-ampulheta","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=13958","title":{"rendered":"Uma ampulheta"},"content":{"rendered":"<p><ul id='GTTabs_ul_13958' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_13958' class='GTTabs_curr'><a  id=\"13958_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_13958' ><a  id=\"13958_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_13958'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/03\/9V2Pag040-2b.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"13959\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=13959\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/03\/9V2Pag040-2b.png\" data-orig-size=\"255,356\" 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;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"Ampulheta\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/03\/9V2Pag040-2b.png\" class=\"alignright size-medium wp-image-13959\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/03\/9V2Pag040-2b-215x300.png\" alt=\"\" width=\"215\" height=\"300\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/03\/9V2Pag040-2b-215x300.png 215w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/03\/9V2Pag040-2b.png 255w\" sizes=\"auto, (max-width: 215px) 100vw, 215px\" \/><\/a>A ampulheta da figura consiste em dois cones congruentes, dentro de um cilindro.<br \/>\nA altura do cilindro \u00e9 6 cm e a sua base tem 4 cm de di\u00e2metro.<\/p>\n<p>Determina:<\/p>\n<ol>\n<li>o volume de areia necess\u00e1rio para encher os cones.<\/li>\n<li>o volume de ar que cabe entre a superf\u00edcie dos cones e a superf\u00edcie do cilindro.<\/li>\n<\/ol>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_13958' onClick='GTTabs_show(1,13958)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_13958'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<ol>\n<li><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/03\/9V2Pag040-2b.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"13959\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=13959\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/03\/9V2Pag040-2b.png\" data-orig-size=\"255,356\" 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;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"Ampulheta\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/03\/9V2Pag040-2b.png\" class=\"alignright size-medium wp-image-13959\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/03\/9V2Pag040-2b-215x300.png\" alt=\"\" width=\"215\" height=\"300\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/03\/9V2Pag040-2b-215x300.png 215w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/03\/9V2Pag040-2b.png 255w\" sizes=\"auto, (max-width: 215px) 100vw, 215px\" \/><\/a>\u00c9 de\u00a0\\({V_{Areia}} = 2 \\times \\frac{1}{3} \\times \\pi \\times {2^2} \\times 3 = 8\\pi \\)\u00a0 cm<sup>3\u00a0<\/sup>o volume de areia necess\u00e1rio para encher os cones.<br \/>\n\u00ad<\/li>\n<li>\u00c9 de \\({V_{Ar}} = {V_{Cilindro}} &#8211; {V_{Areia}} = \\pi \\times {2^2} \\times 6 &#8211; 8\\pi = 16\\pi \\)\u00a0 cm<sup>3<\/sup> o volume de ar que cabe entre a superf\u00edcie dos cones e a superf\u00edcie do cilindro.<\/li>\n<\/ol>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_13958' onClick='GTTabs_show(0,13958)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado A ampulheta da figura consiste em dois cones congruentes, dentro de um cilindro. A altura do cilindro \u00e9 6 cm e a sua base tem 4 cm de di\u00e2metro. Determina: o&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":20410,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[213,97,466],"tags":[426,469,470,109],"series":[],"class_list":["post-13958","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-9--ano","category-aplicando","category-distancias-areas-e-volumes-de-solidos","tag-9-o-ano","tag-cilindro","tag-cone","tag-volume"],"views":4267,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/03\/9V2Pag040-2_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/13958","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=13958"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/13958\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/20410"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=13958"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=13958"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=13958"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=13958"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}