Volumes of Solids of Revolution

Here's a solid resource for solids of revolution. Volumes of solids of revolution with a line of rotation other than the x- or y-axis give learners a difficult time. An AP® Calculus curriculum module provides instructors with four examples on how to teach the difficult concept.

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Instructional Ideas

  • Use the resource and worksheets as part of an intervention session
Classroom Considerations

  • Scholars should already be familiar with solids of revolution about the x- or y-axis
  • Note that the resource uses two integrals for each volume problem rather than the one integral used in the washer method
Pros

  • Includes a few practice problems for pupils to consider
  • Color coding helps visualize connections between graphical and symbolic representations
Cons

  • None