### Home > CALC > Chapter 3 > Lesson 3.4.3 > Problem3-181

3-181.

Find the volume of the flag below rotated about the pole. In a complete sentence, describe the rotated shape.

This flag will look like a sphere with a cylindrical hole removed from its center.

volume $=$ sphere $−$ cylinder

Compute the length of an auxillary line to find the length of the radius of the sphere.