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

In this worksheet, we will practice finding the volume of a solid generated by revolving a region around either a horizontal or a vertical line using integration.

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 .

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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 .

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Q4:

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

Q5:

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

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Q6:

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

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Q7:

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

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Q8:

Determine, to two decimal places, the volume of the solid obtained by rotating the region bounded by the curves and about .

Q9:

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

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This lesson includes 81 additional question variations for subscribers.