Examples for

Surfaces of revolution and solids of revolution are some of the primary applications of integration. A two-dimensional curve can be rotated about an axis to form a solid, surface or shell. Use Wolfram|Alpha to accurately compute the volume or area of these solids. Examples of the methods used are the disk, washer and cylinder method.

Find the surface area of a plane curve rotated about an axis.

Calculate the volume enclosed by a curve rotated around an axis of revolution.