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Folding and finding circumscribed circle of solid geometry in senior high school mathematics
Let the diagonal intersection of the rectangle be O.

Easy to get OA = OB = OC = OD = 2.5.

No matter how you fold along AC, the distance from point O to A, B, C and D will not change.

So the radius of the receiving ball is 2.5.

V = 4/3 * 2.5 ^3 * pi

= 125/6 * pi

Choose C.