{"id":1619,"date":"2018-06-28T08:47:03","date_gmt":"2018-06-28T13:47:03","guid":{"rendered":"http:\/\/blog.espol.edu.ec\/matg1013\/?p=1619"},"modified":"2026-04-05T06:24:08","modified_gmt":"2026-04-05T11:24:08","slug":"1eva2018ti_t1-tanque-esferico-canchas-deportivas","status":"publish","type":"post","link":"https:\/\/blog.espol.edu.ec\/algoritmos101\/mn-1eva20\/1eva2018ti_t1-tanque-esferico-canchas-deportivas\/","title":{"rendered":"1Eva2018TI_T1 Tanque esf\u00e9rico canchas deportivas"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\">1ra Evaluaci\u00f3n I T\u00e9rmino 2018-2019. 26\/junio\/2018. MATG1013<\/h2>\n\n\n\n<p><strong>Tema 1<\/strong>. (25 puntos) Suponga que se est\u00e1 dise\u00f1ando un tanque esf\u00e9rico para almacenamiento de agua para las canchas de la ESPOL.&nbsp; <\/p>\n\n\n\n<p>El volumen del l\u00edquido se calcula con:<\/p>\n\n\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\"> V = \\frac{\\pi h^{2} (3R-h)}{3} <\/span>\n\n\n\n<figure class=\"wp-block-image alignright size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"292\" height=\"265\" src=\"http:\/\/blog.espol.edu.ec\/algoritmos101\/files\/2017\/12\/tanqueesferico03.png\" alt=\"tanque esf\u00e9rico diagrama\" class=\"wp-image-14123\" \/><\/figure>\n\n\n\n<p>donde<br>V: volumen,<br>h: profundidad en el tanque,<br>R: radio.<\/p>\n\n\n\n<p>Si R=3 m, \u00bfa qu\u00e9 profundidad debe llenarse el tanque tal que contenga 30 m<sup>3<\/sup>?<\/p>\n\n\n\n<p>a) Seleccione un valor inicial adecuado y<\/p>\n\n\n\n<p>b) Realice las iteraciones con el m\u00e9todo de Newton-Raphson y una tolerancia de 10<sup>-6<\/sup>.<\/p>\n\n\n\n<p>c) Con los errores en las iteraciones verifique el orden de convergencia<\/p>\n\n\n\n<p><em><strong>R\u00fabrica<\/strong>: Literal a (5 puntos), literal b (15 puntos), literal c (5 puntos)<\/em><\/p>\n\n\n\n<p><em><strong>Referencia<\/strong><\/em>: Ejercicio 5.17. p143 Steven C. Chapra. Numerical Methods 7<sup>th<\/sup> Edition.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>1ra Evaluaci\u00f3n I T\u00e9rmino 2018-2019. 26\/junio\/2018. MATG1013 Tema 1. (25 puntos) Suponga que se est\u00e1 dise\u00f1ando un tanque esf\u00e9rico para almacenamiento de agua para las canchas de la ESPOL.&nbsp; El volumen del l\u00edquido se calcula con: dondeV: volumen,h: profundidad en el tanque,R: radio. Si R=3 m, \u00bfa qu\u00e9 profundidad debe llenarse el tanque tal que [&hellip;]<\/p>\n","protected":false},"author":8043,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"wp-custom-template-entrada-mn","format":"standard","meta":{"footnotes":""},"categories":[11],"tags":[66],"class_list":["post-1619","post","type-post","status-publish","format-standard","hentry","category-mn-1eva20","tag-raices"],"_links":{"self":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/1619","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/users\/8043"}],"replies":[{"embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/comments?post=1619"}],"version-history":[{"count":3,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/1619\/revisions"}],"predecessor-version":[{"id":14154,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/1619\/revisions\/14154"}],"wp:attachment":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/media?parent=1619"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/categories?post=1619"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/tags?post=1619"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}