The cylinderical coordinates are generally used for cylinderical geometries.Cylinderical coordinate system is shown below. A point P in space is represented by the variables r, f, and z.

Unit vectors ar, af and az for the three directions are also shown in the figure above.
The vector R from the origin to the point
P(r,f,z) can be written as
R = rar+zaz
The range of the variables are:
0 £ r£ oo
0 £ f£ 2p

-oo £ z £ oo