# 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

Q2:

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

• A cubic units
• B cubic units
• C cubic units
• D cubic units

Q3:

Consider the region bounded by the curves and , for . Find the volume of the solid obtained by rotating this region about the -axis.

• 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.

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