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 ?

The simplest expression of the correct answer is

150 - 100 * sqrt(2)

(if anyone cares at this point...I just noticed this problem is almost 2 years old)

Posted by Ken Haley on 2005-08-03 04:42:41