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Paul
August 7, 2018

Calculus I - Practice Problems
 Integrals Previous Chapter Next Chapter Extras Area Between Curves Previous Section

## Volumes of Solids of Revolution / Method of Rings

For problems 1  8 use the method of disks/rings 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 ,  and the y-axis about the y-axis. [Solution]

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

3. Rotate the region bounded by  and  about the y-axis. [Solution]

4. Rotate the region bounded by  and  about the x-axis. [Solution]

5. Rotate the region bounded by  and between x = 0 and x = 1 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
 Area Between Curves Previous Section Integrals Previous Chapter Next Chapter Extras

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