Volume Quiz

If you have a cylinder and a cone with the same height and radius, which statement best describes the relationship between the volumes of the two figures?

• The cylinder's volume is two times larger than the cone’s volume.

• The cone’s volume is one-third of the cylinder’s volume.

• The volumes of the two figures are equal.

• The cone’s volume is two times larger than the cylinder’s volume.

The volume of a cylinder is 72π cubic inches. If the height of the cylinder is 8 inches, what is its diameter?

• 3

• 6

• 9

• 12

Find the volume of each solid. Round to the nearest tenth if necessary. Use the π key.

• A. 329.9 yd³

• B. 769.7 yd³

• C. 813.7 yd³

• D. 2309.1 yd³

Determine the volume of the sphere. Give your answer in terms of π.

• 904.3π m³

• 48π m³

• 2304π m³

• 288π m³

A sphere has a volume of 1436.03 in³. What is the radius of the sphere?

• 7 inches

• 8.5 inches

• 18 inches

• 21.4 inches

Michael has two different shaped containers. The dimensions of each container are shown in the drawing. Select the statement that best describes the two figures.

• A. The volume of the cylinder is 167.29 cubic inches less than the volume of the cone.

• B. The volume of the cylinder is 48.80 cubic inches less than the volume of the cone.

• C. The volume of the cone is 48.89 cubic inches less than the volume of the cylinder.

• D. The volume of the cone is 167.29 cubic inches less than the volume of the cylinder.

A lab technician has to fill the tank given below. Find its volume.

• A. 461m³

• B. 890.1m³

• C. 1151m³

• D. 1500m³

What is the length of line segment AB? Round your answer to the nearest tenth.

• 7.8 units

• 9.9 units

• 11.4 units

• 14 units

What is the distance between the two points on the coordinate plane?

• 194 units

• 12 units

• 13.9 units

• 18 units

Determine the length of line segment AB. Round your answer to the nearest tenth of a unit.

• 9.8

• 10.4

• 8.4

• 12