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 Another Answer by Richard)

The wrong quantity r*h was maximized.  The right quantity to maximize is (r^2)*h.  Stay tuned for the corrected version.

Posted by Richard on 2005-04-02 03:40:31