# Worksheet: Volumes of Cylinders, Cones, and Spheres

Q1:

The volume of a cylinder is . Find the volume of a cylinder with a radius of 4 cm and a height of 14 cm. Leave your answer in terms of .

• A cm3
• B cm3
• C cm3
• D cm3
• E cm3

Q2:

A cone has a volume of 486 cubic centimeters. What is the volume of a cylinder that has the same radius and height as the cone?

Q3:

A cylinder has a height of 7.7 cm. The base of this cylinder has a circumference of 100 cm. Find the volume of the cylinder to the nearest centimeter cubed.

• A
2 965
cm3
• B
6 127
cm3
• C385 cm3
• D
12 255
cm3

Q4:

A cylinder has a volume of 1 241 cm3 and a height of 13 cm. The radius of this cylinder is equal to the radius of a sphere. Find the volume of the sphere to the nearest centimeter cubed.

• A382 cm3
• B72 cm3
• C702 cm3
• D127 cm3
• E395 cm3

Q5:

Determine the volume of the right circular cone in terms of .

• A cm3
• B cm3
• C cm3
• D cm3

Q6:

Determine the volume of the right circular cone in terms of .

• A cm3
• B cm3
• C cm3
• D cm3

Q7:

Determine the volume of the right circular cone in terms of .

• A cm3
• B cm3
• C cm3
• D cm3

Q8:

Determine the volume of the given right circular cone in terms of .

• A cm3
• B cm3
• C cm3
• D cm3

Q9:

Find the volume of the given cylinder, rounded to the nearest tenth.

Q10:

What is the volume of a sphere whose diameter is 30?

• A
• B
36 000
• C
• D
• E

Q11:

What is the volume of a sphere whose diameter is 6?

• A
• B288
• C
• D
• E

Q12:

What is the volume of a sphere whose diameter is 24?

• A
• B
18 432
• C
• D
• E

Q13:

Find the radius of a sphere whose volume is cm3.

• A cm
• B cm
• C cm
• D cm

Q14:

Find the radius of a sphere whose volume is cm3.

• A cm
• B cm
• C cm
• D2 cm

Q15:

Find the radius of a sphere whose volume is cm3.

• A cm
• B cm
• C cm
• D cm

Q16:

The volume of a sphere is equal to the volume of a cylinder with a height of 26 cm and a radius of 18 cm. Find the radius of the sphere, giving your answer to the nearest centimeter.

• A106 cm
• B18 cm
• C79 cm
• D22 cm