# Cylinder (Geometry)

See how to find the surface area/volume of a right cylinder.

2 examples and their solutions.

## Cylinder

### Definition

a pair of circle bases

and a lateral face (side face).

Bases: congruent and parallel

## Right Cylinder

### Definition

whose centers of the bases

are the endpoints of the height.

## Right Cylinder: Surface Area

### Formula

A = 2⋅πr

^{2}+ 2πr⋅h

= 2⋅(base area) + (lateral area)

^{2}: area of the base circle

2πr: circumference of the base circle

Circle (Geometry)

### Example

Surface area?

Solution A = 2⋅π⋅4

^{2}+ 2π⋅4⋅9

= 2π⋅16 + 2π⋅36

= 32π + 72π

= 104π

Close

## Right Cylinder: Volume

### Formula

V = πr

^{2}h

### Example

Volume?

Solution V = π⋅4

^{2}⋅9

= π⋅16⋅9

= 144π

Close