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Given a solid sphere of radius R, remove a cylinder whose central axis goes through the center of the sphere. Let h denote the height of the remaining solid. Calculate the volume of the remaining solid.

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    The curious thing you will discover, after the smoke clears, is that the answer is independent of $R$! Apart from that, it is a standard solid of revolution problem.2012-02-16
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    It is considered impolite to post in the form "Calculate..." rather than asking a question. Moreover, some hints on what you have tried already would be appropriate.2012-02-16
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    Does this help ? http://math.stackexchange.com/a/1346/223862012-02-16

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