# Cylinder

Cylinder (right circular cylinder) is a solid of revolution generated by rotating a rectangle or square about one of its sides. Surface area of a right circular cylinder consists of 2 circles and one rectangle (or square). A solid circular cylinder can be seen as the limiting case of a n-gonal prism where n approaches infinity.

## Surface Area

The surface area of a right circular cylinder consists of the area of top and bottom base (which are equal) and side:

$$S=2\pi r^{2} + 2\pi rh$$

where,

π— Pi also referred to as Archimedes' constant is a mathematical constant, that is defined as the ratio of a circle's circumference to its diameter. It is approximately equal to 3.14159265359;
r— radius of a cylinder;
h— height of a cylinder.

## Volume

$$V=\pi r^{2} h$$

In addition to right circular cylinders, other types of cylinders exist, which are not solids of revolution.