Find an equation of the largest sphere contained in the cube
determined by the planes: .
Are these planes the boundaries of the sphere with the distance being the diameter?
You don't need the Distance Formula . . . just some visualization.
. . And they said it was a cube, didn't they?
Can you see that the radius of the sphere is 2 ?
The center of the sphere must be halfway between the planes.
The center is and the radius is 2.
Go for it!