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Cartesian Cylindrical Spherical

 

Differential Volume 

Cartesian

 

dv = dx dy dz (Volume)

 

ds = dy dz (front / back)

 

ds = dx dz (right / left)

 

ds = dx dy (top / bottom)

 

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Cylindrical

 

dv = rdr df dz (volume)

ds = rdf dz (front/ back)

 

ds = rdr df (top / bottom)

 

ds = dr dz (right / left)

 

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Spherical

 

dv = R2sinq dR dq df (volume)

 

ds = R2sinq dq df (front / back)

 

ds = R dR dq (right / left)

 

ds = Rsinq dR df (top / bottom)

 

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