Problem of the Week
Two Spheres in a Room...-------3/26/07-------
There are two spherical balls of different sizes lying in two corners of a rectangular room, each touching two walls and the floor. If there is one point on each ball that is 5 inches from each wall which that ball touches and 10 inches from the floor, then find the sum of the diameters of the balls.
(AHSME 1977)