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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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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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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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