{"id":3138,"date":"2023-04-08T11:30:39","date_gmt":"2023-04-08T15:30:39","guid":{"rendered":"https:\/\/josmfs.net\/?p=3138"},"modified":"2024-04-05T16:33:36","modified_gmt":"2024-04-05T20:33:36","slug":"pillar-wrapping-problem","status":"publish","type":"post","link":"https:\/\/josmfs.net\/wordpress\/2023\/04\/08\/pillar-wrapping-problem\/","title":{"rendered":"Pillar Wrapping Problem"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"alignleft  wp-image-3136\" src=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2023\/04\/Pillar-Wrapping-Fig2.jpg\" alt=\"\" width=\"66\" height=\"251\" srcset=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2023\/04\/Pillar-Wrapping-Fig2.jpg 129w, https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2023\/04\/Pillar-Wrapping-Fig2-79x300.jpg 79w\" sizes=\"auto, (max-width: 66px) 100vw, 66px\" \/>This is a fun problem from the 1949 <em>Eureka<\/em> magazine.<\/p>\n<p>\u201cThe following problems were set at the Archimedeans\u2019 1949 Problems Drive. Competitors were allowed five minutes for each question.\u00a0 [This is problem #9.]<\/p>\n<p>A pillar is in the form of a truncated right circular cone. The diameter at the top is 1 ft., at the bottom it is 2 ft. The slant height is 15 ft. A streamer is wound exactly five times round the pillar starting at the top and ending at the bottom. What is the shortest length the streamer can have?\u201d<\/p>\n<p><a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2024\/04\/Pillar-Wrapping-Answer.jpg\">Answer<\/a>.<\/p>\n<p>See the <a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2023\/04\/Pillar-Wrapping-Problem-230407.pdf\">Pillar Wrapping Problem<\/a> for solution.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>This is a fun problem from the 1949 Eureka magazine. \u201cThe following problems were set at the Archimedeans\u2019 1949 Problems Drive. Competitors were allowed five minutes for each question.\u00a0 [This is problem #9.] A pillar is in the form of a truncated right circular cone. The diameter at the top is 1 ft., at the [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[12,80,234],"class_list":["post-3138","post","type-post","status-publish","format-standard","hentry","category-puzzles-and-problems","tag-curvature","tag-differential-geometry","tag-eureka-magazine"],"_links":{"self":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/3138","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=3138"}],"version-history":[{"count":2,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/3138\/revisions"}],"predecessor-version":[{"id":3547,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/3138\/revisions\/3547"}],"wp:attachment":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/media?parent=3138"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/categories?post=3138"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/tags?post=3138"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}