Visualizing Solids of Revolution - Washers

Published on 11/27/2011

#### Activity Overview

Use visual representation of solids of revolution to find the exact volume of the solid.

#### Objectives

- Visualize the solid generated by revolving the region bounded between two function graphs and the vertical lines x = a and x = b about the x-axis
- Calculate the area of a cross section of a solid generated by rotating the region bounded between two function graphs and the vertical lines x = a and x = b about the x-axis
- Use the area of a cross section of a solid generated by rotating a region bounded by two function graphs about the x-axis to find the exact volume of the solid

#### Vocabulary

- revolve about the x-axis
- solid
- washer

#### About the Lesson

The intent of this lesson is to provide students with visual representations of solids of revolution. As a result, students will: