Volume of Cylinders, Cones and 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 3 inches and a height of 5 inches, what is its volume?

Back

V = π(3)²(5) = 45π in³.

Front

What is the difference between radius and diameter?

Back

The radius is half the diameter; the diameter is twice the radius.

Front

How do you find the volume of a cylinder that is partially filled?

Back

Calculate the volume of the full cylinder and multiply by the percentage filled.

Front

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

Back

V = (4/3)π(4)³ = (4/3)π(64) = 256/3π in³.

Front

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

Back

V = (1/3)π(2)²(6) = (1/3)π(4)(6) = 8π in³.

Front

If a cylinder has a height of 10 feet and a diameter of 4 feet, what is its volume?

Back

V = π(2)²(10) = 40π ft³.

Front

What is the volume of a cylinder with a radius of 7 cm and a height of 10 cm?

Back

V = π(7)²(10) = 490π cm³.