Question:
Given a sphere in a 3D xyz plane with a given center,
what is the easiest way to find any point on the sphere given a student
knows basic geometry (and even basic trigonometry). Thanks!

Replies:
The set of points (x,y,z) so that (x-a)^2 +(y-b)^2 + (z-c)^2 = R^2 defines
a sphere of radius R centered at the point (a,b,c) where a,b,c, and R are
real numbers.

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