Volume of Solids Flashcard

Front

What is the formula for the volume of a cylinder?

Back

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

Front

Calculate the volume of a cylinder with a radius of 5 cm and a height of 10 cm.

Back

V = π(5 cm)²(10 cm) = 250π cm³ ≈ 785.4 cm³.

Front

What is the volume of a rectangular prism?

Back

V = lwh, where l is the length, w is the width, and h is the height.

Front

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

Back

V = 4 cm × 5 cm × 6 cm = 120 cm³.

Front

What is the formula for the volume of a sphere?

Back

V = (4/3)πr³, where r is the radius.

Front

Calculate the volume of a sphere with a radius of 3 cm.

Back

V = (4/3)π(3 cm)³ = 36π cm³ ≈ 113.1 cm³.

Front

What is the volume of a cone?

Back

V = (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

V = (1/3)π(2 cm)²(9 cm) = 24π cm³ ≈ 75.4 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 that of the cylinder.

Front

What is the volume of a cube?

Back

V = s³, where s is the length of a side.