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

DOI10.4169/amer.math.monthly.119.08.685zbMath1260.28006OpenAlexW2296242201WikidataQ58139122 ScholiaQ58139122MaRDI QIDQ4908567

B. M. Makarov

Publication date: 6 March 2013

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4169/amer.math.monthly.119.08.685

zbMATH Keywords

Lebesgue measureCavalieri's principlevolume of multidimensional cones and balls

Mathematics Subject Classification ID

Length, area, volume, other geometric measure theory (28A75) Integration of real functions of several variables: length, area, volume (26B15) Length, area and volume in real or complex geometry (51M25) Analysis education (97I99) Area and volume (educational aspects) (97G30)

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