A vector in the cylindrical coordinate can be written as:
A = ayAy + aøAø + azAz, Ø is the angle started from x axis.
The differential length in the cylindrical coordinate is given by:
dl = ardr + aø ∙ r ∙ dø + azdz
The differential area of each side in the cylindrical coordinate is given by:
dsy = r ∙ dø ∙ dz
dsø = dr ∙ dz
dsz = r ∙ dr ∙ dø
The differential volume in the cylindrical coordinate is given by:
dv = r ∙ dr ∙ dø ∙ dz