There is a perfect sphere of diameter 100 cms. resting up against a perfectly straight wall and a perfectly straight floor.
What is the diameter of the largest sphere that can pass through the gap between the wall, floor and the sphere ?

(In reply to What I came up with by abc)

Regarding your statement [with my clarification],

"This means that the difference between the radius of the [larger] sphere and the diagonal of the square is the diameter of the second sphere which is 20.7107cm. "

But that measure is all the way from the point of tangency of the two spheres to the corner where the wall meets the floor, which includes a gap between the smaller sphere and that point, and so is larger than the diameter of the smaller sphere.

Posted by Charlie on 2003-09-13 16:37:59