perplexus.info :: Shapes : Cutting Contrives Conical Cup

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

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
Puzzle Thoughts	K Sengupta	2023-03-05 04:04:25
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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