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Depending upon the spherical part in question, methods of the calculus would ordinarily be required to calculate the volume. However, there is an excellent website called Dr. Math that gives formulas for computing the volume of many kinds of spherical parts -- caps, sectors, segments, zones. These formulae are parameterized answers to the calculus problems you might otherwise have been forced to solve. The Dr. Math formulas are right here: http://mathforum.org/dr.math/faq/formulas/faq.sphere.html

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Q: How to calculate the volume of a part of a sphere?
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