Various exercises related to the computation of areas of surfaces of revolution.

Find the surface area of the solid formed by revolving on about the -axis.
Find the surface area of the solid formed by revolving on about the -axis.
To compute the integral, you will need to make a substitution like or something similar.
Find the surface area of the solid formed by revolving on about the -axis.
To compute the integral, you will need to make a substitution like or something similar.

Sample Exam Questions

Give an integral formula for the area of the surface generated by revolving the curve between and about the -axis. Explain your answer. You do not need to evaluate the integral.
The curve between and is revolved around the -axis. Compute the surface area of the resulting surface.
none of the above