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Calculation of the Volume of Multidimensional Cones and Balls Using Cavalieri’s Principle

Boris M. Makarov
The American Mathematical Monthly
Vol. 119, No. 8 (October 2012), pp. 685-689
DOI: 10.4169/amer.math.monthly.119.08.685
Stable URL: http://www.jstor.org/stable/10.4169/amer.math.monthly.119.08.685
Page Count: 5
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Calculation of the Volume of Multidimensional Cones and Balls Using Cavalieri’s Principle
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Abstract

Abstract Formulas for the volume of multidimensional cones and balls are deduced based on Cavalieri’s principle and basic properties of the Lebesgue measure (without using integration).

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