{"id":3950,"date":"2026-04-11T13:11:41","date_gmt":"2026-04-11T13:11:41","guid":{"rendered":"https:\/\/pausemaths.fr\/?p=3950"},"modified":"2026-04-11T13:35:54","modified_gmt":"2026-04-11T13:35:54","slug":"volume-dun-cone","status":"publish","type":"post","link":"https:\/\/pausemaths.fr\/index.php\/2026\/04\/11\/volume-dun-cone\/","title":{"rendered":"Volume d&rsquo;un c\u00f4ne"},"content":{"rendered":"\n<hr class=\"wp-block-separator has-text-color has-contrast-color has-alpha-channel-opacity has-contrast-background-color has-background\"\/>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-794e3cfa wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow wp-block-column-is-layout-flow\">\n<p class=\"wp-block-paragraph\">Formule pour calculer<br>le volume d\u2019un c\u00f4ne<\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow wp-block-column-is-layout-flow\">\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n  <mi>V<\/mi>\n  <mo>=<\/mo>\n  <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n    <mfrac>\n      <mrow>\n        <mi>&#x03C0;<!-- \u03c0 --><\/mi>\n\n<mo>&#x00D7;<!-- \u00d7 --><\/mo>\n\n        <msup>\n          <mi>Rayon<\/mi>\n          <mn>2<\/mn>\n        <\/msup>\n        <mo>&#x00D7;<!-- \u00d7 --><\/mo>\n        <mi>Hauteur<\/mi>\n      <\/mrow>\n      <mn>3<\/mn>\n    <\/mfrac>\n  <\/mstyle>\n<\/math>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image aligncenter size-thumbnail\"><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"150\" src=\"https:\/\/pausemaths.fr\/wp-content\/uploads\/2026\/04\/image-38-150x150.png\" alt=\"\" class=\"wp-image-3966\"\/><\/figure>\n<\/div>\n<\/div>\n\n\n\n<hr class=\"wp-block-separator has-text-color has-contrast-color has-alpha-channel-opacity has-contrast-background-color has-background\"\/>\n\n\n\n<h2 class=\"wp-block-heading has-text-align-center\"><strong>Exemple : Pr\u00e9parer un cocktail<\/strong><\/h2>\n\n\n\n<hr class=\"wp-block-separator has-text-color has-contrast-color has-alpha-channel-opacity has-contrast-background-color has-background is-style-dots\"\/>\n\n\n\n<div class=\"wp-block-columns has-medium-font-size is-layout-flex wp-container-core-columns-is-layout-794e3cfa wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:66.66%\">\n<p class=\"wp-block-paragraph\">Une barmaid doit choisir une forme de verre pour servir le cocktail qu\u2019elle vient de cr\u00e9er. Elle dispose de deux types de verre. Il y aura 35 personnes lors de cette soir\u00e9e. Chaque personne doit pouvoir boire au maximum deux verres.<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Calculer le volume au millilitre pr\u00e8s de chacun de ces verres.<\/li>\n\n\n\n<li>Quelle quantit\u00e9 de cocktail doit-elle pr\u00e9parer pour pr\u00e9parer ces verres avec le verre ayant le plus petit volume ? Le plus grand volume ? Arrondir ce r\u00e9sultat au litre pr\u00e8s.<\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Un verre cylindrique de diam\u00e8tre 5cm et de hauteur 5cm ;<\/li>\n\n\n\n<li>Un verre conique de rayon 3,6cm et de hauteur 7cm.<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">On rappelle 1 mL = 1 cm\u00b3<\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:33.33%\">\n<figure class=\"wp-block-image aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"436\" height=\"295\" src=\"https:\/\/pausemaths.fr\/wp-content\/uploads\/2026\/04\/image-39.png\" alt=\"\" class=\"wp-image-3973\" srcset=\"https:\/\/pausemaths.fr\/wp-content\/uploads\/2026\/04\/image-39.png 436w, https:\/\/pausemaths.fr\/wp-content\/uploads\/2026\/04\/image-39-300x203.png 300w\" sizes=\"auto, (max-width: 436px) 100vw, 436px\" \/><\/figure>\n<\/div>\n<\/div>\n\n\n\n<details class=\"wp-block-details is-layout-flow wp-block-details-is-layout-flow\"><summary>Solution <\/summary>\n<p class=\"wp-block-paragraph\">&lt; A rediger ><br><a href=\"https:\/\/pi.ac3j.fr\/wp-content\/uploads\/Brevets\/ExoTech80.pdf\">https:\/\/pi.ac3j.fr\/wp-content\/uploads\/Brevets\/ExoTech80.pdf<\/a><\/p>\n<\/details>\n\n\n\n<hr class=\"wp-block-separator has-text-color has-contrast-color has-alpha-channel-opacity has-contrast-background-color has-background\"\/>\n","protected":false},"excerpt":{"rendered":"<p>Formule pour calculerle volume d\u2019un c\u00f4ne V = &#x03C0; &#x00D7; Rayon 2 &#x00D7; Hauteur 3 Exemple : Pr\u00e9parer un cocktail Une barmaid doit choisir une forme de verre pour servir le cocktail qu\u2019elle vient de cr\u00e9er. Elle dispose de deux types de verre. Il y aura 35 personnes lors de cette soir\u00e9e. Chaque personne doit [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-3950","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/pausemaths.fr\/index.php\/wp-json\/wp\/v2\/posts\/3950","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pausemaths.fr\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/pausemaths.fr\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/pausemaths.fr\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/pausemaths.fr\/index.php\/wp-json\/wp\/v2\/comments?post=3950"}],"version-history":[{"count":20,"href":"https:\/\/pausemaths.fr\/index.php\/wp-json\/wp\/v2\/posts\/3950\/revisions"}],"predecessor-version":[{"id":3977,"href":"https:\/\/pausemaths.fr\/index.php\/wp-json\/wp\/v2\/posts\/3950\/revisions\/3977"}],"wp:attachment":[{"href":"https:\/\/pausemaths.fr\/index.php\/wp-json\/wp\/v2\/media?parent=3950"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/pausemaths.fr\/index.php\/wp-json\/wp\/v2\/categories?post=3950"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/pausemaths.fr\/index.php\/wp-json\/wp\/v2\/tags?post=3950"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}