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?

(In reply to re(3): Extension to this problem... -- numerical solution by Alec)

Alec wrote:
Erm... Why Hugo?

Good question.  I was obviously wrong, the 360 degree cone doesn't have any volume.  I should know better then doubting Charlie's solutions.

Posted by Hugo on 2005-04-10 09:12:23