Volumes of Solids

Front

What is the formula for the volume of a sphere?

Back

V = (4/3)πr³, where r is the radius.

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 cone?

Back

V = (1/3)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

If the radius of a sphere is 3 inches, what is its volume?

Back

V = (4/3)π(3)³ = 36π ≈ 113.1 in³.

Front

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

Back

Diameter = 2r = 2(5) = 10 inches.

Front

How do you find the volume of a solid with a height of 10 units and a base area of 20 square units?

Back

V = base area × height = 20 × 10 = 200 units³.

Front

What is the volume of a cylinder with a radius of 4 inches and a height of 10 inches?

Back

V = π(4)²(10) = 160π ≈ 502.7 in³.

Front

What is the volume of a cone with a radius of 3 inches and a height of 9 inches?

Back

V = (1/3)π(3)²(9) = 27π ≈ 84.8 in³.

Front

What is the volume of a cube with a side length of 5 units?

Back

V = s³ = 5³ = 125 units³.