1. 
Let R be the region bounded by the yaxis, the line y = 9, and the graph . Which of the following integrals gives the volume of the region whose base is the region R and whose slices perpendicular to the xaxis are semicircles?

2. 
Let R be the region bounded by the line y = 5 and the curve y = x^{2} + 1. What is the volume of the solid whose base is R and whose crosssections perpendicular to the yaxis are squares?

3. 
The volume of a cone with base radius 6 and height 10 is found using horizontal slices as shown. Which integral best represents the volume of the cone?

4. 
What is the volume of the solid obtained by rotating the region graphed below around the xaxis? (Write an integral for the volume, and evaluate your integral)

5. 
The region bounded by the graphs y = x^{2}, x = 2, and the xaxis is rotated around the line y = 2. Which of the following integrals gives the volume of the resulting solid, using the washer method?

6. 
The region bounded by the graphs and y = x is rotated around the xaxis. What is the volume of the resulting solid, using the washer method?

7. 
Let R be the region bounded by the graph y = x^{2}, the line x = 2, and the xaxis. What is the volume of the solid obtained when R is rotated around the line x = 0? Use the washer method.

8. 
Which picture would be most helpful for the following problem? "Rotate the region bounded by the line y = x, the line x = 1, and the xaxis around the line x = 0. Use the shell method to find the volume of the resulting solid."

9. 
Let R be the region bounded by the line and the curve . Rotate the region R around the xaxis. Which integral best represents the volume of the resulting solid, as found using the shell method?

10. 
A region R is rotated around the line y = 1 to generate a solid. Which of the following statements is true?If we use the washer method to find the volume of R, the integral will be with respect to x. If we use the shell method to find the volume of R, the integral will be with respect to x.
