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2010 On the relationship between volume and surface area
Joseph Krenicky, Jan Rychtář
Involve 3(1): 1-8 (2010). DOI: 10.2140/involve.2010.3.1

Abstract

We show that the statement that the surface area is the derivative of the volume, which is well known for a ball, can be generalized and stated in a proper way for any set with finite volume and surface area. We also provide a specific statement for star-shaped sets.

Citation

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Joseph Krenicky. Jan Rychtář. "On the relationship between volume and surface area." Involve 3 (1) 1 - 8, 2010. https://doi.org/10.2140/involve.2010.3.1

Information

Received: 30 December 2008; Accepted: 7 January 2010; Published: 2010
First available in Project Euclid: 20 December 2017

zbMATH: 1195.28007
MathSciNet: MR2672498
Digital Object Identifier: 10.2140/involve.2010.3.1

Subjects:
Primary: 28A75, 51M25

Rights: Copyright © 2010 Mathematical Sciences Publishers

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Vol.3 • No. 1 • 2010
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