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Approximating the volume of a solid of revolution – the frustum rule

Published online by Cambridge University Press:  12 October 2022

Paul Belcher
Paul Belcher*
Affiliation:
49 Main Road, Ogmore-by-sea, Bridgend, Vale of Glamorgan CF32 0PL e-mail: paul.belcher26@gmail.com
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Extract

This Article will find formulae for approximating the volume of a solid of revolution, analogous with the Trapezium rule and Simpson's rule [1] for approximating an area. It will also consider the order of these approximations.

Type
Articles
Information
The Mathematical Gazette , Volume 106 , Issue 567 , November 2022 , pp. 408 - 413
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Copyright
© The Authors, 2022. Published by Cambridge University Press on behalf of The Mathematical Association

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References

Spiegal, Murrey R., Mathematical handbook of formulas and tables, Mcgraw-Hill (1968) p. 9.Google Scholar
Bostock, L. & Chandler, S., Core maths for A level, Stanley Thornes (1990) pp. 472–474.Google Scholar