Volume Review

Front

What is the formula for the volume of a cylinder?

Back

Volume = πr²h, where r is the radius and h is the height.

Front

What is the volume of a cylinder with a radius of 3 cm and a height of 5 cm?

Back

Volume = π(3 cm)²(5 cm) = 45π cm³ ≈ 141.37 cm³.

Front

What is the formula for the volume of a rectangular prism?

Back

Volume = length × width × height.

Front

Calculate the volume of a rectangular prism with dimensions 4 cm, 5 cm, and 6 cm.

Back

Volume = 4 cm × 5 cm × 6 cm = 120 cm³.

Front

What is the volume of a cone?

Back

Volume = (1/3)πr²h, where r is the radius and h is the height.

Front

Find the volume of a cone with a radius of 2 cm and a height of 9 cm.

Back

Volume = (1/3)π(2 cm)²(9 cm) = 24π cm³ ≈ 75.4 cm³.

Front

What is the volume of a sphere?

Back

Volume = (4/3)πr³, where r is the radius.

Front

Calculate the volume of a sphere with a radius of 4 cm.

Back

Volume = (4/3)π(4 cm)³ = (4/3)π(64 cm³) ≈ 268.08 cm³.

Front

What is the relationship between the volume of a cylinder and a cone with the same base and height?

Back

The volume of the cone is one-third the volume of the cylinder.

Front

What is the volume of a triangular prism?

Back

Volume = (1/2) × base × height of the triangle × length of the prism.