5.B. 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 are used commonly in engineering and manufacturing.


Volume of a Solid of Revolution - Disk Method


Volume of a Solid of Revolution - Washer Method


Essential Questions
  • How can the volume of a solid be found?
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.


    Disk Method & Washer Method