Volume of right circular cylinder

To give a suggestive demonstration of the formula for the volume of a right circular cylinder in terms of its height and radius of the base circle.

A cylinder is a geometric solid that is very common in everyday life, such as a soup can. If you take the cylinder apart you find it has two ends, called bases, which are usually circular.

**Definition:** A right circular cylinder is a three-dimensional object with two congruent circles as parallel bases and a lateral surface consisting of a rectangle.

**Base and side:** The bases of right circular cylinder are always congruent and parallel to each other. If you were to 'unroll' the cylinder you would find the side is actually a rectangle when flattened out.

**Height:** The height **h **is the perpendicular distance between the bases.

**Radius:** The radius** r** of a cylinder is the radius of a base.

**Axis:** A line joining the center of each base.

Volume of right circular cylinder =** πr ^{2}h**