Question

Find an equation of the sphere that passes through the point (4, 3, −5) and has center (3, 6, 1).

Answer 1

r^2 = (4-3)^2 + (3-6)^2 + (-5-1)^2

r^2 = 1 + 9 + 36

r = sqrt(46)

The equation is:

(x-3)^2 + (y-6)^2 + (z-1)^2 = sqrt(46)