On the relationship between volume and surface area

Joseph Krenicky; Jan Rychtář

doi:10.2140/involve.2010.3.1

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Home > Journals > Involve > Volume 3 > Issue 1 > Article

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

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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.

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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