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Volume of a football!

If the American NFL regulation football

has a tip-to-tip length of 1111 inches and a largest round circumference of 2222 in the middle, then the volume of the American football is ____________.\text{\_\_\_\_\_\_\_\_\_\_\_\_}.

Note: The American NFL regulation football is not an ellipsoid. The long cross-section consists of two circular arcs meeting at the tips. Don't use the volume formula for an ellipsoid.

Answer is in cubic inches.


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