# Worksheet: Washer Method for Rotating around a Horizontal

Q1:

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.

Q2:

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.

Q3:

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

Q4:

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

Q5:

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

Q6:

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

Q7:

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

Q8:

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

Q9:

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

Q10:

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

Q11:

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

Q12:

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

Q13:

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

Q14:

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