In this worksheet, we will practice finding the volume of a solid by revolution of a two-dimensional region about the y-axis using the disk method.

**Q2: **

Find the volume of the solid generated by turning, through a complete revolution about the -axis, the region bounded by the curve and the lines , , and .

- A cubic units
- B3 cubic units
- C27 cubic units
- D cubic units

**Q3: **

Find the volume of the solid generated by revolving the region bounded by the curve and the straight lines and a complete revolution about the -axis.

- A cubic units
- B cubic units
- C cubic units
- D cubic units
- E cubic units

**Q4: **

Find the volume of the solid generated by turning the region bounded by the curve , the -axis, and the lines and through a complete revolution about the -axis.

- A74 cubic units
- B cubic units
- C cubic units
- D cubic units

**Q5: **

Let and be constants. Find the volume of the solid of revolution produced on turning the region bounded by the curve and the -axis about the -axis.

- A
- B
- C
- D

**Q7: **

Find the volume of the solid generated by turning, through a complete revolution about the -axis, the region bounded by the curve and the lines , , and .

- A cubic units
- B cubic units
- C cubic units
- D cubic units

**Q8: **

Let and be constants. Find the volume of the solid of revolution produced on turning the region bounded by the curve and the -axis about the -axis.

- A
- B
- C
- D

**Q9: **

Find the volume of the solid generated by revolving the region bounded by the curve and the straight lines and a complete revolution about the -axis.

- A cubic units
- B cubic units
- C cubic units
- D cubic units
- E cubic units