### Home > APCALC > Chapter 2 > Lesson 2.1.1 > Problem2-8

2-8.

The shaded region at right represents a flag (the upper boundary is a semi-circle). Calculate the volume of the solid formed when the flag is rotated about the pole. In a complete sentence, describe the rotated shape. To help you visualize this, use the

It's a sphere on the outside with two cones removed from the inside.

$V = \text{ sphere} − 2\text{(cone)}$

The radius of the sphere is $3$. The radius and height of each cone is also $3$.

Use the eTool below to visualize the flag.
Click the link at right for the full version of the eTool: Calc 2-8 HW eTool