Question

Find an equation for the sphere with the given center and radius. 7) 7) center (0, - 8 , - 1 ), radius = 10

Answer 1

The general equation  of a sphere with center at (a, b, c) and radius r is

(x-a)^2 + (y-b)^2 + (z-c)^2 = r^2.

Here, the equation is

x^2 + (y+8)^2 + (z+1)^2 = 10^2.