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1-172.

A flag is defined by the region between the -axis and the function listed below. Sketch the flag and calculate the volume of the solid generated by rotating the bounded region about the -axis. To help you visualize this, use the 1-172 eTool (Desmos). Homework Help ✎

When rotated around the -axis, it is a cylinder next to a cone, so volume is:

Use the eTool below to visualize the flag.
Click the link at right for the full version of the eTool: Calc 1-172 HW eTool