Are you talking about the sphere of radius R in three dimensions?
Start by writing out x, y, and z in spherical coordinates with [tex]\rho[/tex] taken as the constant R:
[tex]x= Rcos(\theta)sin(\phi)[/tex]
[tex]y= Rsin(\theta)sin(\phi)[/tex]
[tex]z= R cos(\phi)[/tex]
Calculate the differentials:
[tex]dx= - R sin(\theta)sin(\phi)d\theta+ Rcos(\theta)cos(\phi)d\phi[/tex]
[tex]dy= R cos(\theta)sin(\phi)d\theta+ Rsin(\theta)cos(\phi)d\phi[/tex]
[tex]dz= -R sin(\phi)d\phi[/tex]
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