Volume and surface elements in different co-ordinate systems

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This page outlines the value of different volume and surface elements in several different co-ordinate systems.

System	Volume	Surface
Cartesian	$d V = d x d y d z$	$d S = d x d y$
Cylindrical	$d V = ρ d ρ d φ d z$	$d S = r d θ d z$
Spherical	$d V = r 2 sinθ d r d φ d θ$	$d S = r 2 sinθ d φ d θ$

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