Lesson Plan: Volumes of Solids of Revolution | Nagwa Lesson Plan: Volumes of Solids of Revolution | Nagwa

Lesson Plan: Volumes of Solids of Revolution 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,
  • 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,
  • 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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