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 Cutting Contrives Conical Cup (Posted on 2005-04-01)
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) http://math.ucsd.edu/~mathclub/games/brainteaser-archive/paper_cup.html

 Subject Author Date re(2): Extension to this problem... -- numerical solution Charlie 2005-04-10 14:29:47 re(4): Extension to this problem... -- numerical solution Hugo 2005-04-10 09:12:23 re(3): Extension to this problem... -- numerical solution Alec 2005-04-10 07:42:38 re(2): Extension to this problem... -- numerical solution Hugo 2005-04-09 22:02:44 re: Extension to this problem... -- numerical solution Charlie 2005-04-09 16:59:09 Extension to this problem... Alec 2005-04-09 10:09:56 Straight forward (if dull) approach Alec 2005-04-02 10:12:17 Area of Triangle vs. Volume of Cone Richard 2005-04-02 04:04:32 Another Try Richard 2005-04-02 03:55:28 re: Another Answer -- Wrong Richard 2005-04-02 03:40:31 Another Answer Richard 2005-04-02 02:39:17 re: practically speaking Erik O. 2005-04-01 20:02:11 practically speaking Charlie 2005-04-01 19:28:23 re: Very rough approximation Charlie 2005-04-01 19:16:30 re: Very rough approximation Mark 2005-04-01 19:03:47 numerical answer (without explanation) John Reid 2005-04-01 18:41:45 Very rough approximation Erik O. 2005-04-01 18:37:22

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