{"id":6075,"date":"2024-05-14T17:34:07","date_gmt":"2024-05-14T20:34:07","guid":{"rendered":"https:\/\/xequematenem.com.br\/blog\/?p=6075"},"modified":"2024-10-03T10:00:18","modified_gmt":"2024-10-03T13:00:18","slug":"questao-160-enem-ppl-2021","status":"publish","type":"post","link":"https:\/\/xequematenem.com.br\/blog\/questao-160-enem-ppl-2021\/","title":{"rendered":"Quest\u00e3o 160 &#8211; Enem PPL 2021"},"content":{"rendered":"\n<p class=\"has-text-align-center wp-block-paragraph\"><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Um suporte ser\u00e1 instalado no box de um banheiro para serem colocados <strong>recipientes de xampu, condicionador e sabonete l\u00edquido, sendo que o recipiente de cada produto tem a forma de um cilindro circular reto de medida do raio igual a 3 cm.<\/strong> Para maior conforto no interior do box, a propriet\u00e1ria do apartamento decidiu comprar o <strong>suporte que tiver a base de menor \u00e1rea, desde que a base de cada recipiente ficasse inteiramente sobre o suporte.<\/strong> Nas figuras, vemos as bases desses suportes, nas quais todas as medidas indicadas est\u00e3o em cent\u00edmetro.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img fetchpriority=\"high\" decoding=\"async\" width=\"550\" height=\"856\" src=\"https:\/\/xequematenem.com.br\/blog\/wp-content\/uploads\/2024\/05\/image-26.png\" alt=\"\" class=\"wp-image-6076\" title=\"\" srcset=\"https:\/\/xequematenem.com.br\/blog\/wp-content\/uploads\/2024\/05\/image-26.png 550w, https:\/\/xequematenem.com.br\/blog\/wp-content\/uploads\/2024\/05\/image-26-193x300.png 193w\" sizes=\"(max-width: 550px) 100vw, 550px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><img decoding=\"async\" width=\"610\" height=\"530\" data-src=\"https:\/\/lh7-us.googleusercontent.com\/IR-4Vm1WISOp_RDzX2NCcLtpnPkRAH0YH8LzbM4jaMHv5o2yy04g1i-ddTec66m-auEPs_vhMZ04aRzS_DjtNHgG73OgdZCORBIIMnMUmJZoPuhhw20dBv6rw_dkOc5DziR4VENG4PEr9izz5ruZwTA\" alt=\"\" title=\"\" src=\"data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMSIgaGVpZ2h0PSIxIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPjwvc3ZnPg==\" class=\"lazyload\" style=\"--smush-placeholder-width: 610px; --smush-placeholder-aspect-ratio: 610\/530;\"><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><img decoding=\"async\" data-src=\"https:\/\/lh7-us.googleusercontent.com\/0YNK9fMS5JSxlUXSVWU5s-e_8B2RsN_oP8mq6CtDAJccRHqZgyiI_yTmmU66-U0K4B3SnrzcaKBXPmaVj5W2t1LFfrV_VawWTl16257dKicrfgZaOtZ8VYaVecU8nzIrXOEPR8mXqwk2kV2xyrW9vRw\" width=\"560\" height=\"477\" alt=\"\" title=\"\" src=\"data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMSIgaGVpZ2h0PSIxIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPjwvc3ZnPg==\" class=\"lazyload\" style=\"--smush-placeholder-width: 560px; --smush-placeholder-aspect-ratio: 560\/477;\"><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Utilize 3,14 como aproxima\u00e7\u00e3o para \u03c0 .<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Para atender \u00e0 sua decis\u00e3o, qual tipo de suporte a propriet\u00e1ria comprou?<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A) I<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B) II<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C) lil<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">D) IV<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">E) v<\/p>\n\n\n\n<p class=\"has-text-align-center has-large-font-size wp-block-paragraph\"><strong>Resolu\u00e7\u00e3o<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Se o raio \u00e9 3, o di\u00e2metro \u00e9 6, assim j\u00e1 eliminamos a op\u00e7\u00e3o IV.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Na figura I, n\u00e3o conseguimos posicionar 3 c\u00edrculos de 6 cent\u00edmetros, pois precisaremos de 3 quadrados de lado 6.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Na figura II, conseguimos alocar os 3 cilindros, e esse quadrado tem \u00e1rea 12.12 = 144 cm\u00b2<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Na figura III, s\u00f3 conseguimos posicionar um \u00fanico cilindro de di\u00e2metro 6.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Na figura V conseguimos posicionar os 3 cilindros na \u00e1rea, cuja \u00e9 calculada por \u03c0.13\u00b2\/4 = 169.\u03c0\/4 cm\u00b2 = 169.3,14\/4 = 132,66<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Apenas observando visualmente o quadrado tem muito mais \u00e1rea sobrando do que o quarto de circunfer\u00eancia. E comparando numericamente podemos constatar que o II tem mais \u00e1rea que V.&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Alternativa E<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Assista \u00e0 resolu\u00e7\u00e3o com mais detalhes no v\u00eddeo abaixo!<\/p>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe title=\"Quest\u00e3o 160 - Caderno Azul | Geometria espacial | MATEM\u00c1TICA ENEM PPL 2021\" width=\"800\" height=\"450\" data-src=\"https:\/\/www.youtube.com\/embed\/CHeoEOtHAGo?list=PLrzB-zHlu3aAqV-y3sXkQB832I6nvGDZn\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen src=\"data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMSIgaGVpZ2h0PSIxIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPjwvc3ZnPg==\" class=\"lazyload\" data-load-mode=\"1\"><\/iframe>\n<\/div><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Um suporte ser\u00e1 instalado no box de um banheiro para serem colocados recipientes de xampu, condicionador e sabonete l\u00edquido, sendo que o recipiente de cada produto tem a forma de um cilindro circular reto de medida do raio igual a 3 cm. Para maior conforto no interior do box, a propriet\u00e1ria do apartamento decidiu comprar [&hellip;]<\/p>\n","protected":false},"author":11,"featured_media":6076,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[87,100],"tags":[],"area-do-conhecimento":[132,118],"assunto":[54],"class_list":["post-6075","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-questoes-ppl","category-2021-questoes-ppl","area-do-conhecimento-matematica","area-do-conhecimento-matematica-e-suas-tecnologias","assunto-geometria-espacial"],"_links":{"self":[{"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/posts\/6075","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/users\/11"}],"replies":[{"embeddable":true,"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/comments?post=6075"}],"version-history":[{"count":1,"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/posts\/6075\/revisions"}],"predecessor-version":[{"id":18881,"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/posts\/6075\/revisions\/18881"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/media\/6076"}],"wp:attachment":[{"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/media?parent=6075"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/categories?post=6075"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/tags?post=6075"},{"taxonomy":"area-do-conhecimento","embeddable":true,"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/area-do-conhecimento?post=6075"},{"taxonomy":"assunto","embeddable":true,"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/assunto?post=6075"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}