A football is in the shape of a prolate spheroid, which is

Chapter 10, Problem 78

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A football is in the shape of a prolate spheroid, which is simply a solid obtained by rotating an ellipse a x2 a2 + y2 b2 = 1b about its 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 pab2 , how much air does the football contain?

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