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
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
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