Sketch the graph and compute the volume of the solid of revolution generated by:

The sketch of the ordinate set of on is as follows:

We then compute the volume of the solid of revolution. We reference the previous exercises here and here for the integrals of and .

*Related*

It is also possible, and arguably quicker, to use the identity , followed by the half-angle formula, and using that the integral of is 0 over any -length interval.