Volume - 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

What is the difference between radius and diameter?

Back

The radius is half the diameter; the diameter is twice 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

How do you convert the radius of a sphere to its diameter?

Back

Diameter = 2 × radius.

Front

What is the volume of a cylinder with a radius of 4 cm and a height of 10 cm?

Back

Volume = π(4)²(10) = 160π ≈ 502.65 cm³.

Front

What is the volume of a cone with a radius of 2 cm and a height of 6 cm?

Back

Volume = (1/3)π(2)²(6) = 8π ≈ 25.13 cm³.

Front

If the radius of a sphere is doubled, how does its volume change?

Back

The volume increases by a factor of 8.

Front

What is the volume of a sphere with a radius of 3 m?

Back

Volume = (4/3)π(3)³ = 36π ≈ 113.1 m³.