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