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I have spent the better part of the last year or so rebuilding the site from the ground up and the result should (hopefully) lead to quicker load times for the pages and for a better experience on mobile platforms. For the most part the update should be seamless for you with a couple of potential exceptions. I have tried to set things up so that there should be next to no down time on the site. However, if you are the site right as the update happens there is a small possibility that you will get a "server not found" type of error for a few seconds before the new site starts being served. In addition, the first couple of pages will take some time to load as the site comes online. Page load time should decrease significantly once things get up and running however.

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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