Exercises choosing a method for computing volume.

The region in the plane bounded by and the -axis for is rotated about the -axis. The
volume of the resulting solid of revolution is (Hints won’t be revealed until after you
choose a response.)

The region in the plane bounded on the right by the curve , on the left by the curve ,
and on the bottom by is revolved around the -axis. Compute the volume of the
resulting solid.

Compute the volume of the solid of revolution obtained by rotating the region
between , , and around the -axis.

The region between the graph of and the -axis is rotated around the line . What is the volume of the resulting solid?

Find the volume obtained by rotating the region between the graph and the -axis for
about the -axis.

### Sample Exam Questions

Calculate the volume of the solid obtained by rotating the area between the graphs of and the -axis for around the -axis.