Volume of Cylinders, Spheres, and Cones

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 sphere?

Back

V = (4/3)πr³, where r is the radius.

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

If the diameter of a cylinder is 10 inches, what is the radius?

Back

The radius is 5 inches (radius = diameter/2).

Front

How do you convert diameter to radius?

Back

Divide the diameter by 2.

Front

What is the approximate value of π?

Back

π is approximately 3.14.

Front

Calculate the volume of a cylinder with a radius of 3 inches and a height of 5 inches.

Back

V = π(3)²(5) = 45π ≈ 141.37 in³.

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) ≈ 268.08 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(24) = 8π ≈ 25.13 in³.

Front

If a cylinder has a height of 10 inches and a radius of 2 inches, what is its volume?

Back

V = π(2)²(10) = 40π ≈ 125.66 in³.