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2-8.
  1. The shaded region below represents a flag (the upper boundary is a semi-circle). Find 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 2-8 eTool (Desmos). Homework Help ✎

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

V = sphere − 2(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