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: Extension to this problem... -- numerical solution by Charlie)

Charlie, if the angle is 0, then the total volume should be > 0

Posted by Hugo on 2005-04-09 22:02:44