Lesson Plan: Volumes of Solids of Revolution Using Disk and Washer Method Mathematics

This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to find the volume of a solid generated by revolving a region around either a horizontal or a vertical line using integration.

Objectives

Students will be able to

  • recall the formula used to find the volume of a solid generated by revolving a region bounded by curves about a horizontal or vertical axis or line,
  • find the integral used to calculate the volume of a solid generated by revolving a region bounded by given curves about a horizontal or vertical axis or line,
  • find the volume of a solid formed by rotating a region bounded by curves using integration.

Prerequisites

Students should already be familiar with

  • definite integrals,
  • integrating polynomial, trigonometric, exponential, radical, and rational functions,
  • integration by substitution,
  • integration by parts.

Exclusions

Students will not cover

  • finding volumes of solids of revolution using the shell method.

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