3D Volume Formulas Worksheets Grade 8

1. Aroha is designing a piece of art for a community center. She has a cone-shaped paperweight with a radius of 5 cm and a height of 15 cm. She also has a cylinder-shaped vase with a radius of 5 cm and a height of 15 cm. If she fills both objects completely with colored sand, how much more sand (in cubic centimeters) will the vase hold than the paperweight? (Use π = 3.14)
2. π × 6² × 15 = ?
3. Ava is designing a decorative fountain for a park. The fountain consists of a cylindrical basin with a radius of 6 inches and a height of 16 inches. In the center of the basin, there is a spherical ornament with a radius of 6 inches that sits completely submerged in the water. Ava needs to know how much water the fountain can hold when the basin is filled to the brim and the ornament is inside. What is the volume of water the fountain can hold in cubic inches? Use π ≈ 3.14 and round your answer to the nearest whole cubic inch.

…and 1 more problems

1. Hana is designing a decorative garden feature that consists of a cone-shaped fountain on top of a cylindrical base. The cone has a radius of 4 meters and a height of 6 meters. The cylinder has the same radius of 4 meters and a height of 2 meters. What is the total volume of the entire garden feature? (Use π = 3.14)
2. Emma is filling a large spherical water balloon for a summer festival. The balloon has a radius of 5 inches. She then pours all the water from the balloon into a cylindrical container that has a radius of 5 inches and a height of 10 inches. How much empty space remains in the cylindrical container after all the water from the balloon is poured in? Use π ≈ 3.14 and round your answer to the nearest whole cubic inch.
3. Liam is designing a new cylindrical water tank for his community garden. The tank has a radius of 4 feet and a height of 10 feet. He also wants to create a conical compost container with the same radius and height. How many times greater is the volume of the water tank compared to the compost container?

1. Matiu has a cone-shaped container with a radius of 8 cm and a height of 18 cm. What is its volume in cubic centimeters? (Use π = 3.14)
2. A cylindrical water tank has a radius of 3 meters and a height of 7 meters. What is its volume in cubic meters? (Use π = 3.14)
3. A spherical water storage tank has a diameter of 12 meters. A conical funnel has a height of 4 meters and a base radius of 3 meters. If the spherical tank is completely full and all its water is poured into the conical funnel, how many times will the funnel need to be filled and emptied to transfer all the water? Use π = 3.14 and round your answer to the nearest whole number.

…and 3 more problems