Mastering Volume: Real-World Problems for 8th Graders

A cylindrical water tank has a radius of 3 feet and a height of 10 feet. What is the volume of the tank?

• 60π cubic feet

• 30π cubic feet

• 100π cubic feet

• 90π cubic feet

A cone-shaped party hat has a base radius of 4 inches and a height of 12 inches. Calculate the volume of the hat.

• 64π cubic inches

• 48π cubic inches

• 32π cubic inches

• 80π cubic inches

A sphere has a diameter of 10 cm. What is its volume? Use the formula V = 4/3πr³.

• Approximately 523.6 cm³

• Approximately 785.4 cm³

• Approximately 314.2 cm³

• Approximately 418.9 cm³

A cylindrical can has a height of 6 inches and a diameter of 4 inches. How much liquid can it hold?

• 50.3 cubic inches

• 100.5 cubic inches

• 30.2 cubic inches

• Approximately 75.4 cubic inches

A cone with a radius of 5 meters and a height of 15 meters is filled with sand. What is the volume of the sand?

• 100π cubic meters

• 75π cubic meters

• 150π cubic meters

• 125π cubic meters

A spherical balloon has a radius of 2 feet. How much air can it hold?

• Approximately 12.57 cubic feet

• Approximately 50.27 cubic feet

• Approximately 25.13 cubic feet

• Approximately 33.51 cubic feet

A water bottle is in the shape of a cylinder with a height of 8 inches and a radius of 2 inches. What is the volume of the bottle?

• 32π cubic inches

• 40π cubic inches

• 24π cubic inches

• 16π cubic inches

A cone-shaped ice cream cone has a height of 6 inches and a base radius of 2 inches. What is the volume of the cone?

• 12π cubic inches

• 4π cubic inches

• 6π cubic inches

• 8π cubic inches

A sphere is inscribed in a cube with a side length of 6 cm. What is the volume of the sphere?

• 18π cm^3

• 12π cm^3

• 72π cm^3

• 36π cm^3

A cylindrical storage tank has a radius of 5 feet and a height of 20 feet. How many gallons of water can it hold if 1 cubic foot equals approximately 7.48 gallons?

• 8000 gallons

• 5000 gallons

• 15000 gallons

• 11753.6 gallons