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There is a perfect sphere of diameter 40 cms. resting up
against a perfectly straight wall and a perfectly straight
floor i.e. the wall and the floor make a perfect right angle.
Can a perfect sphere of diameter 7 cms. pass through the
space between the big sphere, the wall and the floor?
Support your answer with valid arguments. Don't submit just
"Yes" or "No".
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Answer Posted / munna
The answer is yes.
Consider a 2-D diagram,
given that the diameter of the sphere is 40 cms.
so radius = 20 cms.
c0nsider the points that touch the floor and the wall and
the center of the sphere and the intersection of the floor
and wall.This forms a square of length of side 20 cms.
so,
the distance left for any sphere of unknown diameter to
pass through be x.
x=sqrt(800)-20=8.284... cms.
so a sphere of radius 7 cms passes.
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