SOLUTION: A sphere sits inside a cylinder and touches all sides. The radius of the sphere is 10 cm. What is the volume of the cylinder outside the sphere?

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Question 1045148: A sphere sits inside a cylinder and touches all sides. The radius of the sphere is 10 cm. What is the volume of the cylinder outside the sphere?
Answer by ikleyn(52799) About Me  (Show Source):
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A sphere sits inside a cylinder and touches all sides. The radius of the sphere is 10 cm. What is the volume of the cylinder outside the sphere?
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The height of the cylinder is 20 cm.
The radius of the cylinder is 10 cm.
The volume of the cylinder is pi%2A10%5E2%2A20 = 2000%2Api cm%5E3.

The volume of the sphere is %284%2F3%29%2Api%2A10%5E3 = %284000%2F3%29%2Api cm%5E3.

The difference is %282000+-+4000%2F3%29%2Api.

On volumes of solid bodies see the lesson
    - Volume of 3D solid bodies
in this site and associated with it.