Volume of Cylinders, Cones & Spheres

Front

What is the formula for the volume of a cylinder?

Back

V = πr²h, where r is the radius and h is the height.

Front

What is the formula for the volume of a cone?

Back

V = (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

V = (4/3)πr³, where r is the radius.

Front

If a cylinder has a radius of 4 cm and a height of 10 cm, what is its volume?

Back

V = π(4)²(10) = 160π cm³.

Front

What is the diameter of a cylinder if its radius is 5 cm?

Back

Diameter = 2 * radius = 2 * 5 cm = 10 cm.

Front

How do you convert the diameter of a cylinder to radius?

Back

Radius = Diameter / 2.

Front

What is the volume of a cylinder with a radius of 3 inches and a height of 5 inches?

Back

V = π(3)²(5) = 45π in³.

Front

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

Back

V = (1/3)π(2)²(6) = 8π cm³.

Front

If the radius of a sphere is 7 cm, what is its volume?

Back

V = (4/3)π(7)³ = 1436/3π cm³.

Front

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

Back

Diameter = 2 * radius.