75.0k views
1 vote
Find an equation of largest sphere with center(5,4,9) that is contained in the first octant.

User FLOZz
by
7.3k points

1 Answer

3 votes

Such a sphere can have a radius of up to 4, so that its equation would be


(x-5)^2+(y-4)^2+(z-9)^2=16

Any larger radius would make the sphere cross the plane
y=0 and it would no longer be contained in the first octant.

User Kongress
by
7.7k points