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Computing Volumes of Solids of Revolution with Double Integrals

Jorge Martín-Morales and Antonio M. Oller-Marcén
The College Mathematics Journal
Vol. 45, No. 3 (May 2014), pp. 219-221
DOI: 10.4169/college.math.j.45.3.219
Stable URL: http://www.jstor.org/stable/10.4169/college.math.j.45.3.219
Page Count: 3
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Computing Volumes of Solids of Revolution with Double Integrals
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Abstract

Summary We show that the disk and shell methods for computing volume are connected by Fubini’s theorem. The same double integral allows us to derive Pappus’ volume theorem.

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