# Surface Area of a Right Cylinder

How to find the surface area of a right cylinder: definition, formula, example, and its solution.

## Cylinder

A cylinder is a 3D figure

that has

a pair of circle [bases] (brown)

and a [lateral face]

which is adjacent to both bases.

The [bases] are congruent and parallel.

## Right Cylinder

A right cylinder is a cylinder

whose centers of the bases

are the endpoints of the height.

So, just like a right prism,

the lateral face of a right cylinder is a rectangle

that is perpendicular to the bases.

Surface area of a right prism

## Formula

*A* = 2⋅*πr*^{2} + 2*πr*⋅*h**A*: Surface area of a right cylinder*r*: Radius of the base*h*: Height of the right cylinder

2⋅*πr*^{2}: Sum of the base areas

2*πr*⋅*h*: Lateral area

## Example

*r* = 4*h* = 9

So *A* = 2⋅*π*⋅4^{2} + 2*π*⋅4⋅9.

4^{2} = 16

4⋅9 = 36

2⋅16 = 32

2⋅36 = 72

32 + 72 = 104

So *A* = 104*π*.