Volume of Cylinders, Cones and Spheres

A cone with a radius of 5 inches has a volume of approximately 314 cubic inches. Which of the following best represents the height of the cone?

• 8 inches

• 4 inches

• 12 inches

• 16 inches

At a construction site, sand is poured from a truck into a conical pile. The pile has a diameter of 12 feet and is 10 feet tall. Which of the following best describes the volume of the sand?

• 377 cubic feet

• 126 cubic feet

• 63 cubic feet

• 565 cubic feet

The radius of a cone is 6 centimeters. The height of the cone is 20 centimeters. Which is the closest to the volume of the cone?

• 740 cubic cm

• 750 cubic cm

• 800 cubic cm

• 775 cubic cm

The height of a cone measures 10 cm and the radius of the cone measures 6 cm. Which of the following is closest to the volume of the cone?

• 79 cubic cm

• 105 cubic cm

• 377 cubic cm

• 785 cubic cm

A sphere has a volume of approximately 113 cubic units. Which of the following best represents the radius of the sphere?

• 4 units

• 2 units

• 3 units

• 5 units

The sphere shown above has diameter of 4 meters. What is the volume of the sphere?

• 33.49 cubic meters

• 28.27 cubic meters

• 64.91 cubic meters

• 113.09 cubic meters

There are approximately 7.5 gallons of water in 1 cubic foot. If a spherical water tank has a diameter of 24 feet, about how many gallons of water will it hold?

• 10,000 gallons

• 960 gallons

• 31,400 gallons

• 54,300 gallons

The diameter of the great circle of a sphere is 12 inches. Which of the following can be the approximation of the volume of the sphere?

• 7238.23 cubic inches

• 603.19 cubic inches

• 904.78 cubic inches

• 57905.8 cubic inches

The volume of a cylinder is approximately 942 cubic inches. The height of the cylinder is 12 inches. Which is the best approximation for the radius of the cylinder?

• 4 inches

• 6 inches

• 7 inches

• 5 inches

The diameter of the base of a cylinder is 18 units. The cylinder is 30 units tall. Which of the following is closest to the volume of the cylinder?

• 706 cubic units

• 1,414 cubic units

• 7,630 cubic units

• 21,195 cubic units