### Home > APCALC > Chapter 8 > Lesson 8.1.6 > Problem 8-62

8-62.

GEOMETRY PROOF: VOLUME OF A SPHERE

Another way to view a sphere is as a semicircle rotated about an axis. Use a generic semicircle such as is

Set up and evaluate an integral showing what happens when you rotate the arbitrary semicircle about the -axis.

Note:

*radius of the sphere, which is a constant.*

*rotating radii, which are not constant.*