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 / raj kiran
consider 2-d fig for simplicity.. i.e two lines at right
angles and a circle with its circumference touching the
lines(walls).. now the line joining the center of the circle
n the point of contact of the circle wit the walls forms a
square of side 40 cm..
now join the center of the circle n the meeting point of the
wall, this forms the diagonal of the square..
by right angle theorem, we get the diagonal as,
(40*1.414)=56.56..
so the remaining space left ( corner of the wall to the
circumference of th circle) is 16.6cm...
through which a 7cm ball can pass through..
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