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Cutting Contrives Conical Cup (Posted on 2005-04-01) Difficulty: 3 of 5
Out of a circular piece of paper, you wish to form a cone cup, so you cut out a circle wedge (with its extreme at the circle center) and join the resulting straight sides, forming a conical cup.

What size should the wedge be, to maximize the capacity of the cone?

  Submitted by Old Original Oskar!    
Rating: 4.0000 (2 votes)
Solution: (Hide)

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  Subject Author Date
re(2): Extension to this problem... -- numerical solutionCharlie2005-04-10 14:29:47
re(4): Extension to this problem... -- numerical solutionHugo2005-04-10 09:12:23
re(3): Extension to this problem... -- numerical solutionAlec2005-04-10 07:42:38
re(2): Extension to this problem... -- numerical solutionHugo2005-04-09 22:02:44
re: Extension to this problem... -- numerical solutionCharlie2005-04-09 16:59:09
QuestionExtension to this problem...Alec2005-04-09 10:09:56
SolutionStraight forward (if dull) approachAlec2005-04-02 10:12:17
Area of Triangle vs. Volume of ConeRichard2005-04-02 04:04:32
Another TryRichard2005-04-02 03:55:28
re: Another Answer -- WrongRichard2005-04-02 03:40:31
SolutionAnother AnswerRichard2005-04-02 02:39:17
re: practically speakingErik O.2005-04-01 20:02:11
practically speakingCharlie2005-04-01 19:28:23
Solutionre: Very rough approximationCharlie2005-04-01 19:16:30
re: Very rough approximationMark2005-04-01 19:03:47
numerical answer (without explanation)John Reid2005-04-01 18:41:45
SolutionVery rough approximationErik O.2005-04-01 18:37:22
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