Volume Applications Worksheets Grade 8

1. A rectangular prism has length 3.5 m, width 2.8 m, and height 4.2 m. What is its volume?
2. A cylindrical water tank has a radius of 5 m and a height of 12 m. What is its volume in cubic meters? (Use π ≈ 3.14)
3. Liam is designing a decorative concrete sphere for a public park. The sphere must have a volume of exactly 14,130 cubic centimeters. What should be the radius of the sphere in centimeters? (Use π ≈ 3.14)

…and 3 more problems

1. Tane is designing a decorative fountain that consists of a cylindrical basin with a hemispherical dome on top. The cylinder has a radius of 3 meters and a height of 5 meters. The hemisphere sits on top of the cylinder and has the same radius. What is the total volume of the fountain in cubic meters? (Use π ≈ 3.14)
2. Emma is designing a conical party hat for her school's celebration. The hat needs to have a volume of exactly 942 cubic centimeters. If the height of the cone is 9 centimeters, what should be the radius of the circular base? Use π ≈ 3.14.
3. Olivia is filling a spherical water balloon for a summer party. The balloon has a radius of 5 inches. She wants to know how much water it can hold. What is the volume of the balloon in cubic inches? (Use π ≈ 3.14)

…and 2 more problems

1. Aroha is designing a decorative fountain for a public park. The fountain consists of a cylindrical basin that holds water, topped with a hemispherical dome that also holds water. The cylindrical basin has a radius of 30 centimeters and a height of 50 centimeters. The hemispherical dome sits on top of the cylinder and has the same radius of 30 centimeters. What is the total volume of water, in cubic centimeters, that the fountain can hold? Use π ≈ 3.14.
2. Emma is designing a decorative fountain that consists of a cylindrical base topped with a conical spire. The cylindrical base has a radius of 3 meters and a height of 5 meters. The conical spire has the same radius and a height of 3 meters. What is the total volume of the fountain in cubic meters? (Use π ≈ 3.14)
3. Mason is building a decorative concrete birdbath for his garden. The birdbath consists of a hemispherical bowl on top of a cylindrical pedestal. The bowl has an inner radius of 12 inches (the concrete forms a thin shell, so the interior volume is what matters). The cylindrical pedestal has a radius of 8 inches and a height of 14 inches. If Mason fills the birdbath with water, what is the total volume of water the birdbath can hold, in cubic inches? Use π ≈ 3.14 and round your final answer to the nearest whole cubic inch.