Volume Applications

Front

What is the formula for the volume of a sphere?

Back

V = (4/3)πr³, where r is the radius of the sphere.

Front

How do you calculate the volume of a cylinder?

Back

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

Front

What is the volume of a rectangular prism?

Back

V = lwh, where l is the length, w is the width, and h is the height.

Front

What is the relationship between diameter and radius?

Back

The radius is half of the diameter: r = d/2.

Front

How many cubic inches are in a cubic foot?

Back

There are 1728 cubic inches in a cubic foot (12 inches x 12 inches x 12 inches).

Front

What is the volume of a cone?

Back

V = (1/3)πr²h, where r is the radius and h is the height.

Front

How do you convert cubic feet to gallons?

Back

1 cubic foot holds approximately 7.5 gallons.

Front

What is the volume of a cylinder with a diameter of 10 inches and a height of 5 inches?

Back

V = π(5)²(5) = 125π ≈ 392.7 cubic inches.

Front

If a candle is 10 cm high, 4 cm long, and 4 cm wide, what is its volume?

Back

V = 10 x 4 x 4 = 160 cm³.

Front

What is the volume of a sphere with a radius of 3 inches?

Back

V = (4/3)π(3)³ = 36π ≈ 113.1 cubic inches.