# A football is in the shape of a prolate spheroid, which is simply a solid obtained by

## Question:

A football is in the shape of a prolate spheroid, which is simply a solid obtained by rotating an ellipse (x^{2}/a^{2} + y^{2}/b^{2} = 1) about ts major axis. An inflated NFL football averages 11.125 inches in length and 28.25 inches in center circumference. If the volume of a prolate spheroid is 4/3 πab^{2 }how much air does the football contain?

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