Volume of Cylinders Review

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

What does 'r' represent in the volume formula of a cylinder?

Back

'r' represents the radius of the base of the cylinder.

Front

What does 'h' represent in the volume formula of a cylinder?

Back

'h' represents the height of the cylinder.

Front

If a cylinder has a radius of 3 ft and a height of 5 ft, what is its volume?

Back

Volume = π(3)²(5) = 45π ≈ 141.37 ft³.

Front

How do you find the height of a cylinder if you know the volume and radius?

Back

Rearrange the volume formula: h = Volume / (πr²).

Front

What is the volume of a cylinder with a radius of 2 ft and a height of 4 ft?

Back

Volume = π(2)²(4) = 16π ≈ 50.27 ft³.

Front

What is the relationship between diameter and radius in a cylinder?

Back

Diameter = 2 * Radius.

Front

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

Back

Radius = Diameter / 2 = 10 m / 2 = 5 m.

Front

What is the volume of a cylinder with a radius of 5 m and a height of 10 m?

Back

Volume = π(5)²(10) = 250π ≈ 785.4 m³.

Front

How do you convert the volume of a cylinder from cubic feet to cubic meters?

Back

Multiply the volume in cubic feet by 0.0283168.