# Worksheet: Shell Method for Rotating around a Vertical

Q1:

Find the volume of the solid obtained by rotating the region bounded by the curves , , , and about .

• A
• B
• C
• D
• E

Q2:

Consider the region bounded by the curve and lines , , and . Find the volume of the solid obtained by rotating this region about . Round your answer to two decimal places.

Q3:

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

• A
• B
• C
• D
• E

Q4:

Consider the region in the half plane bounded by the curves and . Find the volume of the solid obtained by rotating this region about -axis. Round your answer to two decimal places.

Q5:

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 volume units
• B volume units
• C volume units
• D volume units

Q6:

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

• A117 volume units
• B volume units
• C volume units
• D volume units