### Home > APCALC > Chapter 1 > Lesson 1.4.3 > Problem 1-172

1-172.

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