Question

Find an equation of the sphere that passes through the point (4, 3, -1) and has center (3, 8, 1).

Answer 1

Step 1:

The center of the sphere is and point is .

The equation of the sphere with center and radius r  is .

Where r  is the distance between the center of the sphere and point on the sphere.

The distance between the center and a point is

Substitute   in the equation  of the sphere.

Solution :

The equation of the sphere is .