the inside dimensions of a rectangular wooden box are 6 inches by 8 inches by 10 inches. a cylindrical canister is to be placed inside the box so that it stands upright when the closed box rests on one of its six faces. of all such cansiters that could be used, what is the radius, in inches, of the one that has max volume?

3

4

5

6

8

the answer is

NOT c. can anyone explain why? I've attached an overhead representation of the canister inscribed within the wooden box. assume the height of the box is 8 and the length and width are 10 and 6 respectively. why can't we use V=(pi)(5^2)(8) to calc. the max volume