Math 151

Quiz 9 practice November 27, 2017

1. Let Rbe the region above the line y= 2xand below the parabola y= 3x−x2. What is the volume

of the solid obtained by revolving this region about the x-axis?

2. Let Rbe the region from the previous problem. What is the volume of the solid obtained by

revolving Rabout the y-axis?

3. Let Rbe the region above the parabola y=x2and below the parabola y= 6x−2x2. What is the

volume of the solid obtained by revolving this region about the x-axis?

4. Let Rbe the region from the previous problem. What is the volume of the solid obtained by

revolving Rabout the y-axis?