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 inches and a height of 5 inches, what is its volume?

Back

Volume = π(3)²(5) = 45π ≈ 141.37 in³.

Front

What is the volume of a sphere with a radius of 4 meters?

Back

Volume = (4/3)π(4)³ = (4/3)π(64) ≈ 268.08 m³.

Front

What does volume measure?

Back

Volume measures the amount of space occupied by a solid.

Front

True or False: The volume of a cone is always less than the volume of a cylinder with the same base and height.

Back

True.

Front

What is the volume of a cylinder with a height of 10 inches and a radius of 2 inches?

Back

Volume = π(2)²(10) = 40π ≈ 125.66 in³.

Front

What is the volume of a sphere with a diameter of 10 cm?

Back

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

Front

How do you convert the volume from cubic inches to cubic feet?

Back

Divide the volume in cubic inches by 1728 (since 1 ft³ = 12³ in³).