Volume of cylinders, cones and spheres

Front

What is the formula for the volume of a sphere?

Back

V = 4/3πr³

Front

What is the formula for the volume of a cone?

Back

V = 1/3πr²h

Front

What is the formula for the volume of a cylinder?

Back

V = πr²h

Front

If a cone and a cylinder have the same radius and height, what is the relationship between their volumes?

Back

The volume of the cone is 1/3 the volume of the cylinder.

Front

Calculate the volume of a sphere with a radius of 3 inches. Use π = 3.14.

Back

V = 4/3 * 3.14 * 3³ = 113.04 in³

Front

Calculate the volume of a cone with a radius of 2 cm and a height of 5 cm. Use π = 3.14.

Back

V = 1/3 * 3.14 * 2² * 5 = 20.93 cm³

Front

Calculate the volume of a cylinder with a radius of 4 cm and a height of 10 cm. Use π = 3.14.

Back

V = 3.14 * 4² * 10 = 502.4 cm³

Front

What is the volume of a sphere with a diameter of 10 inches? Use π = 3.14.

Back

V = 4/3 * 3.14 * (5)³ = 523.33 in³

Front

What is the volume of a cone with a diameter of 6 cm and a height of 9 cm? Use π = 3.14.

Back

V = 1/3 * 3.14 * (3)² * 9 = 28.26 cm³

Front

What is the volume of a cylinder with a diameter of 8 cm and a height of 12 cm? Use π = 3.14.

Back

V = 3.14 * (4)² * 12 = 602.88 cm³