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(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 nonzero 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 20050410 07:42:38 