# Worksheet: Volumes of Solids of Revolution

Q1:

Determine, to two decimal places, the volume of the solid obtained by rotating the region bounded by the curve and the lines , , and about the -axis.

Q2:

Determine, to two decimal places, the volume of the solid obtained by rotating the region bounded by the curve and the lines , , and about the -axis.

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:

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

Q5:

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

• A14 cubic units
• B cubic units
• C cubic units
• D cubic units

Q6:

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

• A13 cubic units
• B cubic units
• C cubic units
• D cubic units
• E cubic units

Q7:

Which of the following has a volume of ?

• Aa right circular cone whose height is 15 units
• Ba sphere whose radius length is 25 units
• Ca sphere whose radius length is 5 units
• Da right circular cylinder whose height is 15 units
• Ea right circular cylinder whose height is 5 units