SOLUTION: A sphere and a closed cylinder have the same radius. The height of the cylinder is 6 times the radius. What is the ratio of the volume of the cylinder to the sphere

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Question 1129128: A sphere and a closed cylinder have the same radius. The height of the cylinder is 6 times the radius. What is the ratio of the volume of the cylinder to the sphere
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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A sphere and a closed cylinder have the same radius.
The height of the cylinder is 6 times the radius.
What is the ratio of the volume of the cylinder to the sphere?
:
h = 6r
%28%284%2F3%29%2Api%2Ar%5E3%29%2F%28pi%2Ar%5E2%2A6r%29 = %28%284%2F3%29%2Api%2Ar%5E3%29%2F%28pi%2A6r%5E3%29
cancel pi%2Ar%5E3
%284%2F3%29%2F6 = 4%2F3+%2A+1%2F6 = 4%2F18 = 2%2F9
Vol ratio of cylinder to sphere: 9:2