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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?

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

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re(3): Extension to this problem... -- numerical solution | Comment 15 of 17 |
(In reply to re(2): Extension to this problem... -- numerical solution by Hugo)

Erm... Why Hugo?

Here in Botswana I'm only waking up, so maybe I'm not thinking clearly, but I agree that an angle of 0 should give two volumes of zero.  Which of the two 'cones' the one with the zero angle, or the one with 360deg angle has the non-zero volume?

I found the same numerical solution, but was hoping one of you guys/gals could solve the dV/dè = 0 equation you get as I find numerical solutions a bit unfulfilling...

  Posted by Alec on 2005-04-10 07:42:38
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