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.