Volume of Cylinders, Cones, & Spheres

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 formula for the volume of a cone?

Back

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

Front

What is the formula for the volume of a sphere?

Back

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

Front

If a cylinder has a radius of 3 cm and a height of 5 cm, what is its volume?

Back

Volume = π(3)²(5) = 45π ≈ 141.37 cm³.

Front

If a cone has a radius of 4 cm and a height of 6 cm, what is its volume?

Back

Volume = (1/3)π(4)²(6) = 32π ≈ 100.53 cm³.

Front

If a sphere has a diameter of 10 cm, what is its volume?

Back

Radius = 5 cm; Volume = (4/3)π(5)³ = (500/3)π ≈ 523.6 cm³.

Front

What is the relationship between the diameter and radius of a circle?

Back

Diameter = 2 × Radius.

Front

How do you convert diameter to radius?

Back

Radius = Diameter / 2.

Front

What is the volume of a cylinder with a radius of 7 ft and a height of 10 ft?

Back

Volume = π(7)²(10) = 490π ≈ 1539.38 ft³.

Front

What is the volume of a cone with a radius of 2 m and a height of 3 m?

Back

Volume = (1/3)π(2)²(3) = (12/3)π = 4π ≈ 12.57 m³.