Find an equation of a sphere with radius r and center C(h, k, l). SOLUTION By definition, a sphere is the set of all points P(x, y, z) whose distance from C is r. (See the figure.) Thus, in terms of r, P is on the sphere if and only if |PC| = . Squaring both sides, in terms of radius r, we have |PC|2 = . In terms of Cartesian coordinates and radius r, the equation of a sphere is (x − )^2+ (y − k)^2+ (z − )^2 =

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