The relation is as follows:
x = r sinJ cosj
y = r sinJ sinj
z = r cosJ
and the volume element dV is:
dV = r² sinJ dJ dj
where coordinate r shows distance between the origin point and point in question, J is the angle between r and z-axis and j is the angle between x-axis and r-projection on xy-plane. The polar coordinates are defined in the following region:
0 £ r £ ¥, 0 £ J £ p, 0 £ j £ 2p
where we can define all points unambiguously.
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