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

In this lesson, we will learn how to find the volume of a solid generated by revolving a region around either a horizontal or a vertical line using integration.

Lesson Plan

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.

Lesson Explainer

Lesson Playlist

04:07
05:57
02:37

Lesson Worksheet

Q1:

Find the volume of the solid obtained by rotating the region bounded by the curves and about where . Give your answer to two decimal places.

Q2:

Consider the region bounded by the curve and the lines , , and . Set up an integral for the volume of the solid obtained by rotating that region about .

Q3:

Set up an integral for the volume of the solid obtained by rotating the region bounded by the curve and the lines , , and about .