### Home > CALC > Chapter 2 > Lesson 2.2.4 > Problem 2-101

2-101.

The region bounded by *y* = − *x* + 6 and the coordinate axes is rotated about the *y*-axis. Calculate the volume of the resulting solid. Homework Help ✎

Sketch the region so you can visualize the flag.

The axis of rotation (the pole) is the *y*-axis.

The resulting solid will be a cone.

Which axis contains the radius (*r*) and which contains the height (*h*)?