{"id":4810,"date":"2026-03-28T09:43:24","date_gmt":"2026-03-28T13:43:24","guid":{"rendered":"https:\/\/josmfs.net\/wordpress\/?p=4810"},"modified":"2026-03-28T09:43:24","modified_gmt":"2026-03-28T13:43:24","slug":"slanted-volume-of-revolution","status":"publish","type":"post","link":"https:\/\/josmfs.net\/wordpress\/2026\/03\/28\/slanted-volume-of-revolution\/","title":{"rendered":"Slanted Volume of Revolution"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"alignleft  wp-image-4807\" src=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2026\/03\/Slanted-Volume-of-Revolution-Fig2.jpg\" alt=\"\" width=\"200\" height=\"219\" srcset=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2026\/03\/Slanted-Volume-of-Revolution-Fig2.jpg 400w, https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2026\/03\/Slanted-Volume-of-Revolution-Fig2-274x300.jpg 274w\" sizes=\"auto, (max-width: 200px) 100vw, 200px\" \/>This is a fairly challenging <a href=\"https:\/\/medium.com\/math-games\/can-you-do-this-slanted-revolution-calculus-puzzle-b8b5f86233b5\">problem<\/a> from BL Math Games.<\/p>\n<p>\u201cFind the volume of the solid obtained by rotating the region enclosed by <em>y = x<\/em> and <em>y = x<\/em><sup>2<\/sup> about the line <em>y = x<\/em>.\u201d<\/p>\n<p><a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2026\/03\/Slanted-Volume-of-Revolution-Answer.jpg\">Answer<\/a>.<\/p>\n<p>See <a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2026\/03\/Slanted-Volume-of-Revolution-260110.pdf\">Slanted Volume of Revolution<\/a> for solutions.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>This is a fairly challenging problem from BL Math Games. \u201cFind the volume of the solid obtained by rotating the region enclosed by y = x and y = x2 about the line y = x.\u201d Answer. See Slanted Volume of Revolution for solutions.<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[4],"tags":[274,32],"class_list":["post-4810","post","type-post","status-publish","format-standard","hentry","category-math-inquiries","tag-bl-puzzles","tag-calculus"],"_links":{"self":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/4810","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/comments?post=4810"}],"version-history":[{"count":1,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/4810\/revisions"}],"predecessor-version":[{"id":4811,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/4810\/revisions\/4811"}],"wp:attachment":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/media?parent=4810"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/categories?post=4810"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/tags?post=4810"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}