Linked from
The 18 pages that link to Spherical coordinate system, each with the reason it gives.
SphereRelated: Its radial coordinate makes the sphere a constant-radius surface.
Solid angleRelated: Its angular area element provides a direct way to integrate solid angles.
RadiusRelated: Its radial coordinate generalizes circle-centered distance to three dimensions.
Unit sphereRelated: Fixing the radial coordinate at one parametrizes the unit sphere.
Volume integralRelated: Its volume element fits spherical regions and radial symmetry.
3-sphereRelated: Three angular parameters describe points on a 3-sphere after fixing the radius.