# Volume of a Cylinder

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A cylinder is a 3-dimensional geometric figure which consists of circular bases, and these circles are located at the opposite ends of the cylinder. The circular bases are congruent circles and they are joined to form the curved surface of the cylinder. The height of the cylinder is the line joining the centers of the circular bases. Volume of a cylinder is the amount of space contained inside the cylinder and it depends upon the height of the cylinder and the radius of the circular base.

Example 1: Calculate the volume of the cylinder where radius of the base is 6m and the height is 9m.

Volume of the cylinder, V = π * r2 * h

Given radius of the cylinder, r = 6m

Height of the cylinder, h = 9m

Substituting the radius and the height in the above volume formula, we get

Volume, V = π * (6m) 2 * (9m) ==> π * 36m2 * 9m

Volume, V = 324π

Volume of the cylinder, V = 1017.9m3

Example 2: Calculatethe volume of the cylinder where radius of the base is 3m and the height is 10m.

Volume of the cylinder, V = π * r2 * h

Given radius of the cylinder, r = 3m

Height of the cylinder, h = 10m

Substituting the radius and the height in the above volume formula, we get

Volume, V = π * (3m) 2 * (10m) ==> π * 9m2 * 10m

Volume, V = 90π

Volume of the cylinder, V = 282.7m3