Question 936052: how can we identify a set of coordinates that represents a point lying on a sphere?
Answer by TimothyLamb(4379)   (Show Source):
You can put this solution on YOUR website! ---
the general equation for a sphere is this:
(x - h)^2 + (y - j)^2 + (z - k)^2 = r^2
where:
x,y,z are the coordinates of a point on the surface of the sphere
h,j,k are the coordinates of the center of the sphere
r is the radius of the sphere
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in the special case where the sphere is centered at the origin, (h,j,k) = (0,0,0)
in that special case only, the equation for the sphere becomes:
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x^2 + y^2 + z^2 = r^2
because (h,j,k) = (0,0,0)
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