A spherical ball is kept at the corner of a rectangular room such that the ball touches two (Perpendicular) walls and lies on the floor. If a point on the sphere is at distances of 9 , 16 , 25 from the two walls and the floor, then a possible radius of the sphere is

Question

A spherical ball is kept at the corner of a rectangular room such that the ball touches two (Perpendicular) walls and lies on the floor. If a point on the sphere is at distances of 9 , 16 , 25 from the two walls and the floor, then a possible radius of the sphere is, 13, 15, 26, 36

MARKS App · Accepted Answer

( r − 9 ) 2 + ( r − 16 ) 2 + ( r − 25 ) 2 = r 2 solving this 2 r 2 − 100 r + 962 = 0 r 2 − 50 r + 481 = 0 r = 37 , r = 13 ​ possible radius = 13 According to option

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