Lesson: Volumes of Solids of Revolution Using the Shell Method Mathematics

In this lesson, we will learn how to find the volume of a solid generated by revolving an area around a vertical or horizontal axis using the shell method.

Sample Question Videos

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Lesson Worksheet

Q1:

Find the volume of the solid obtained by rotating the region bounded by the curves , , , and about .

Q2:

Consider the region bounded by the curve and lines , , and . Find the volume of the solid obtained by rotating this region about . Round your answer to two decimal places.

Q3:

Consider the region in the half plane bounded by the curves and . Find the volume of the solid obtained by rotating this region about -axis. Round your answer to two decimal places.