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 cone has a radius of 3 cm and a height of 4 cm, what is its volume?

Back

Volume = (1/3)π(3)²(4) = 12π cm³.

Front

What is the difference between radius and diameter?

Back

Radius is half the diameter; Diameter = 2 × Radius.

Front

How do you find the radius of a sphere if the volume is given?

Back

Use the formula r = (3V/(4π))^(1/3), where V is the volume.

Front

What is the volume of a cylinder with a radius of 5 cm and a height of 10 cm?

Back

Volume = π(5)²(10) = 250π cm³.

Front

What is the volume of a cone with a base radius of 6 cm and a height of 9 cm?

Back

Volume = (1/3)π(6)²(9) = 108π cm³.

Front

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

Back

Volume = (4/3)π(7)³ = 1436.76 cm³.

Front

If the height of a cylinder is doubled, how does that affect the volume?

Back

The volume doubles, since Volume = πr²h.