Sphere Volume and Surface Problem: You can find the volume of a sphere by slicing it

Problem 19 Chapter 8-6

Calculus: Concepts and Applications | 2nd Edition

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Problem 19

Sphere Volume and Surface Problem: You can find the volume of a sphere by slicing it into spherical shells (Figure 8-6j). If the shell is thin, its volume is approximately equal to its surface area times its thickness. The approximation becomes exact as the thickness of the shell approaches zero. Use the area formula in to derive the volume formula for a sphere, V = r3 Figure 8-6j

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