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Resting Sphere (Posted on 2003-09-13) Difficulty: 3 of 5
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 ?

See The Solution Submitted by Ravi Raja    
Rating: 3.5000 (4 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re: What I came up with | Comment 3 of 18 |
(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

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