Answer:
(x−10)²+ (y−6)²+ (z−4)²= 16
Step-by-step explanation:
The largest sphere contained in the first octant can only have a radius equal to the shortest distance from the center to the coordinates planes.
(10, 6 , 4).
For the coordinate x the distance to the plane y-z is 10
For the coordinate y the distance to the plane x-z is 6
For the coordinate x the distance to the plane x-y is 4
So the maximum radius contained is r=4.
For the formula of sphere:
(x−10)²+ (y−6)²+ (z−4)²= r²
we replace the r.
