SOLUTION: The height of a cylinder is the same as the diameter of a sphere, which has a larger volume? Why?

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Question 302422: The height of a cylinder is the same as the diameter of a sphere, which has a larger volume? Why?
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
What's the diameter of the cylinder?
If it's the same as the sphere, then the cylinder is larger. You could put the sphere inside the cylinder.
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Mathematically,
SV+=+4%2Api%2Ar%5E3%2F3
CV+=+pi%2Ar%5E2%2A2r+=+4pi%2Ar%5E3
The cylinder has 3 times the volume of the sphere.