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Calculus I (Practice Problems) / Applications of Integrals / Volumes of Solids of Revolution / Method of Rings   [Notes] [Practice Problems] [Assignment Problems]

Calculus I - Practice Problems
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Area Between Curves Previous Section   Next Section Volumes of Solids of Revolution/Method of Cylinder

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]

 

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Area Between Curves Previous Section   Next Section Volumes of Solids of Revolution/Method of Cylinder
Integrals Previous Chapter   Next Chapter Extras

Calculus I (Practice Problems) / Applications of Integrals / Volumes of Solids of Revolution / Method of Rings    [Notes] [Practice Problems] [Assignment Problems]

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