SOLUTION: the volume of the sphere is how much of the volume of the smallest cylinder that can contain it?

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Question 186389: the volume of the sphere is how much of the volume of the smallest cylinder that can contain it?
Answer by ankor@dixie-net.com(15652) About Me  (Show Source):
You can put this solution on YOUR website!
the volume of the sphere is how much of the volume of the smallest cylinder
that can contain it?
:
The height of the cylinder will have to be the diameter (2r) of the sphere which has the same radius as the cylinder
:
%28cylinder+vol%29%2F%28sphere+vol%29 = %28pi%2Ar%5E2%2A%282r%29%29%2F%28%284%2F3%29pi%2Ar%5E3%29
cancel pi%2Ar%5E2
%282r%29%2F%28%284%2F3%29%2Ar%29
Cancel r
%282%29%2F%284%2F3%29 = 2 * 3%2F4 = 3%2F2
:
We can also say the sphere is 2%2F3 the vol of the cylinder