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1. Consider the finite region

*R*bounded by the curvesFind the volume of the solid obtained by revolving the region

*R*about the*x*-axis.

Hint

Answer

2. Consider the following region:

Find the volume of the solid obtained by revolving the region

*R*about the line*y*= −1.

Hint

Answer

3. Consider the region

*R*under the graph of the functionFind the volume of the solid obtained by revolving the region

*R*about the line*x*= −1.

Hint

Answer

4. Consider the finite region

*R*bounded by the curvesFind the volume of the solid obtained by revolving the region

*R*about the*y*-axis.

Hint

Answer

5. Consider the finite region

*R*bounded by the curvesFind the volume of the solid obtained by revolving the region

*R*about the line*y*= −1.

Hint

Answer

6. Find the volume of the ball with radius

*R*with a cylindrical hole of radius*r*bored through its center: