Question

Find an equation of the largest sphere with center (6, 10 , 8) that is contained completely in the first octant.

Answer 1

if centerd @(h,k,l)=(6,10,8)
(x-6)^2+(y-10)^2+(z-8)^2=r^2

Answer 2

if centered @ origin use
x^2 +y^2 +z^2 = r^2

Answer 3

radius cannot be larger than 6 else outside octant so

(x-6)^2+(y-10)^2+(z-8)^2=6^2