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

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

Back

Volume = π(3)²(5) = 45π m³.

Front

What is the volume of a cone with a radius of 4 cm and a height of 9 cm?

Back

Volume = (1/3)π(4)²(9) = 48π cm³.

Front

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

Back

Radius = Diameter / 2.

Front

What is the volume of a sphere with a radius of 7 inches?

Back

Volume = (4/3)π(7)³ = 1436.76 in³.

Front

A cylinder has a height of 10 cm and a diameter of 6 cm. What is its volume?

Back

Volume = π(3)²(10) = 90π cm³.

Front

What is the volume of a cone with a diameter of 10 m and a height of 12 m?

Back

Volume = (1/3)π(5)²(12) = 100π m³.

Front

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

Back

The volume increases by a factor of 8.