Disc or shell and an identity

The Mathematical Gazette 2026

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Authors: Paul Belcher
DOI: 10.1080/00255572.2025.2580139
Cited by: 0

Abstract

We compare the disc and shell methods for finding the volume of a solid of revolution. Equating the two formulae gives an integration identity, which is then proved analytically using calculus. Then the two methods are compared when finding the surface area of a solid of revolution.

Fields of Study & Subjects

Mathematical and Computational Methods Mathematics and Applications History and Theory of Mathematics

Publication details

Journal / source
The Mathematical Gazette
Volume
110
Issue
578
Pages
274–279
Publication date
19 January 2026
Language
EN