Lesson: Volumes of Solids of Revolution Using the Disk and Washer Methods AP Calculus BC • AP Calculus AB

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 the disk and washer methods.

Video

16:07

Sample Question Videos

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02:45
02:37

Worksheet

Q1:

Consider the region bounded by the curves , , , and . Determine the volume of the solid of revolution created by rotating this region about the -axis.

Q2:

Find the volume of the solid obtained by rotating the region bounded by the curve and the lines and about the -axis.

Q3:

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

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