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Paul
August 7, 2018

Calculus I - Practice Problems
 Integrals Previous Chapter Next Chapter Extras Volumes of Solids of Revolution / Method of Rings Previous Section Next Section More Volume Problems

## Volumes of Solids of Revolution / Method of Cylinders

For problems 1  8 use the method of cylinders to determine the volume of the solid obtained by rotating the region bounded by the given curves about the given axis.

1. Rotate the region bounded by , the x-axis and the y-axis about the x-axis. [Solution]

2. Rotate the region bounded by , ,  and the x-axis about the y-axis. [Solution]

3. Rotate the region bounded by  and  about the y-axis.  For this problem assume that . [Solution]

4. Rotate the region bounded by  and  about the x-axis.  For this problem assume that . [Solution]

5. Rotate the region bounded by ,  and  about the line . [Solution]

6. Rotate the region bounded by  and  about the line . [Solution]

7. Rotate the region bounded by  and  about the line . [Solution]

8. Rotate the region bounded by , ,  and  about the line . [Solution]

Problem Pane
 Volumes of Solids of Revolution / Method of Rings Previous Section Next Section More Volume Problems Integrals Previous Chapter Next Chapter Extras

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