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