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Mathematical Expression Editor

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.