Volume Word Problems (Cylinders, Cones, and 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

How do you find the radius of a cylinder if you know the diameter?

Back

Radius = Diameter / 2.

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 diameter of 10 feet, what is its radius?

Back

Radius = 10 feet / 2 = 5 feet.

Front

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

Back

Volume = π(3)²(5) = 45π ≈ 141.37 cubic feet.

Front

How do you convert inches to feet when calculating volume?

Back

Divide the number of inches by 12 to convert to feet.

Front

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

Back

Volume = (1/3)π(4)²(9) = 48π ≈ 150.8 cubic inches.

Front

How do you calculate the volume of a sphere with a diameter of 6 inches?

Back

First, find the radius: 6 inches / 2 = 3 inches. Then, Volume = (4/3)π(3)³ = 36π ≈ 113.1 cubic inches.

Front

What is the approximate value of π used in volume calculations?

Back

π is approximately 3.14.