Method of Cylindrical Shells

Approximate the volume of a solid of revolution. Using a method similar to approximating the area under a curve, pupils investigate the volume of a solid of revolution. The learners use a given definite integral to find the volume of specific revolutionary solids.

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Instructional Ideas

  • Use 3-D modeling software to display the solids of revolution in the problems
Classroom Considerations

  • The class should know how to take definite integrals
  • Requires an free CK-12 account for access
Pros

  • The extra material provides more examples and problems
  • Allows learners to view the correct answer if they enter the wrong one
Cons

  • None