# Worksheet: Washer Method for Rotating around a Horizontal

In this worksheet, we will practice finding the volume of the solid of revolution using the washer method around a horizontal line.

**Q1: **

Find the volume of the solid obtained by rotating the region bounded by the curve and the lines and about the line .

- A
- B
- C
- D
- E

**Q4: **

Find the volume of the solid obtained by rotating the region bounded by the curve and the line about the -axis.

- A
- B
- C
- D
- E

**Q5: **

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

- A9 cubic units
- B cubic units
- C cubic units
- D cubic units

**Q6: **

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

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

**Q7: **

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

- A18 cubic units
- B72 cubic units
- C cubic units
- D cubic units

**Q8: **

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

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

**Q9: **

Calculate the volume of a solid generated by rotating the region bounded by the curve and straight lines , , and a complete revolution about the -axis.

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

**Q10: **

Consider the region between the curves and , for . Find the volume of the solid of revolution obtained by rotating this region about the -axis, giving your answer to two decimal places.

**Q11: **

Find the volume of the solid obtained by rotating the region bounded by the curves and about where . Give your answer to two decimal places.

**Q12: **

Consider the region bounded by the curve and the lines , , and . Set up an integral for the volume of the solid obtained by rotating that region about .

- A
- B
- C
- D
- E

**Q13: **

Set up an integral for the volume of the solid obtained by rotating the region bounded by the curve and the lines , , and about .

- A
- B
- C
- D
- E

**Q14: **

Find the volume of the solid obtained by rotating the region bounded by the curves , , , and about . Give your answer to two decimal places.