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4.6.4 Area element and volume element on a sphere
When considering budgets over finite domains, integration over an
element of the sphere is common. A useful bit of notation is the area
of an infinitesimal element of the sphere



(4.69) 
With this notation, the volume element on the sphere takes the form



(4.70) 
RC Pacanowski and SM Griffies, GFDL, Jan 2000