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.
