I've got this worksheet for calculus. Theres a problem on it noone can solve, not even the teacher. Theres Extra credit involved for solving it. Whoever helps will be mentioned to 30 high school students, so thats your prize. Be jealous
-----Problem------
If the cylinder of largest possible volume is inscribed in a given sphere, the ratio of the volume of the sphere to that of the cylinder is:
a) sqrt(3) : 1
b) sqrt(3) : 3
c) 3 : 1
d) 2*sqrt(3) : 3
e) 3*sqrt(3) : 4
--------end problem-------
Help is appreciated, and I can't just take the 20% chance of guessing correctly, I must be able to explain it. Thanks.