# Volumes of Solids

Area is only one of the many applications of the definite integral.

Another important application is its use in finding the volume of a three-dimensional solid.

This section involves particular types of three-dimensional solid—one whose cross sections are similar.

Solids of revolution and volume by known cross section are used commonly in engineering and manufacturing.

## Essential Questions

Essential Questions

### How can the volume of a solid be found using integration?

How can the volume of a solid be found using integration?

## Skills

Skills

Find the volume of a solid of revolution using the disk method.

Find the volume of a solid of revolution using the washer method.

Find the volume of a solid with known cross sections.