# Volume of a Right Circular Cylinder

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A cylinder is a solid geometric structure consisting of circular bases which are congruent to each other. If the line joining the centers of the circular bases is perpendicular to the plane of the base circles, then such a cylinder is known as a right circular cylinder. This line is also known as the height of the cylinder. Volume of a right circular cylinder depends on the area of the base of the circle and the height of the cylinder.

Example 1: Calculatethe volume of the cylinder whose radius of the base is 3m and the height is 5m.

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

Given radius of the cylinder, r = 3m

Height of the cylinder, h = 5m

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

Volume, V = π * (3m) 2 * (5m) ==> π * 9m2 * 5m

Volume, V = 45π

Volume of the cylinder, V = 141.4m3

Example 2: Calculatethe volume of the cylinder whose radius of the base is 5m and the height is 6m.

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

Given radius of the cylinder, r = 5m

Height of the cylinder, h = 6m

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

Volume, V = π * (5m) 2 * (6m) ==> π * 25m2 * 6m

Volume, V = 150π

Volume of the cylinder, V = 471.2m3