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Mathematical interception ball
Solution: Let the length, width and height of a cuboid be abc,

(1) About catching the ball inside.

It is known that the radius of the inscribed sphere is 65438+ 0/2 of the shortest side.

(Note: Strictly speaking, however, it can only be considered as the largest ball that can fit into a cuboid, not an inside ball. )

(2) About catching the ball.

As we all know, the diameter of the circumscribed sphere is equal to the diagonal of the cuboid, so

The formula for the radius of the circumscribed sphere of a cuboid is √ (A 2+B 2+C 2)/2.