A sphere in space with center (h, k, l) and radius r has equation
(x − h) 2 + (y − k) 2 + (z − l) 2 = r2.
Four given points in space suffice to determine the values of h, k, l, and r. In Problems, find the center and radius of the sphere that passes through the four given points P, Q, R, and S.
P(4, 6, 15), Q(13, 5, 7), R(5, 14, 6), S(5, 5, −9)
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