Find the equation of a sphere if one of it's diameters has endpoints (-10,0,-6) and (4, 14, 8).

Question

I have written:

 

(x+3)²+(y-7)²+(z-1)²-sqrt(588)/2 = 0.

But it is marked incorrect.

 

 

Answer 1

The center and radius are correct. 

 

Equation of sphere:  (x+3)² + (y-7)² + (z-1)² = [(1/2)√588]² = 147