3D Volume Formulas Worksheets Grade 8

1. 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)
2. Sophia is designing a decorative planter for a garden center. The planter is made of a cylindrical base with a radius of 6 inches and a height of 11 inches. On top of the cylinder sits a conical top (like a lid) with the same radius and a height of 6 inches. What is the total volume of the planter in cubic inches? Use π ≈ 3.14 and round your answer to the nearest whole cubic inch.
3. Noah is designing a sculpture for a park. The sculpture consists of a cone placed on top of a cylinder. The cylinder has a radius of 7 feet and a height of 10 feet. The cone has the same radius as the cylinder and a height of 9 feet. What is the total volume of the sculpture? (Use π = 3.14)

1. Hana is designing a set of decorative containers for a community art project. She has a cylindrical container with a radius of 8 inches and a height of 18 inches. She also has a cone-shaped container with the same radius of 8 inches and a height of 18 inches. Hana wants to fill both containers completely with colored sand. How much more sand, in cubic inches, will the cylinder hold than the cone? Use π ≈ 3.14 and round your answer to the nearest whole cubic inch.
2. A spherical water tank has a radius of 9 feet. What is its volume in cubic feet? (Use π = 3.14)
3. Noah is designing a large decorative planter for a community garden. The planter is shaped like a cylinder with a radius of 9 inches and a height of 24 inches. Inside the planter, there is a conical insert (open at the top) that sits upside down, with its tip at the bottom of the cylinder, to hold a small tree. The cone has the same radius as the cylinder (9 inches) and a height of 12 inches. Noah needs to fill the remaining space around the cone with soil. What is the volume of soil needed, in cubic inches? Use π ≈ 3.14 and round your answer to the nearest whole cubic inch.

…and 1 more problems

1. 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.
2. Emma is designing a piece of art that consists of a cone placed on top of a cylinder. The cylinder has a radius of 3 inches and a height of 9 inches. The cone has the same radius as the cylinder and a height of 5 inches. What is the total volume of Emma's art piece? Use π = 3.14.
3. Emma is creating a decorative candle holder for a craft fair. The holder consists of a cylindrical base with a radius of 3 inches and a height of 7 inches. On top of the cylinder, she places a conical lid with the same radius and a height of 5 inches. Emma wants to know the total volume of the candle holder in cubic inches so she can determine how much wax it will hold. What is the total volume? Use π ≈ 3.14 and round your answer to the nearest whole cubic inch.