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Concept explainers
Comparing American and rugby union footballs An ellipse centered at the origin is described by the equation
- a. Use the washer method to find the volume of an ellipsoid (in terms of a and b). Check your work using the shell method.
- b. Both American and rugby union footballs have the shape of ellipsoids. The maximum regulation size of a rugby union football corresponds to parameters of a = 6 in and b = 3.82 in, and the maximum regulation size of an American football corresponds to parameters of a = 5.62 in and b = 3.38 in. Find the volume of each football.
- c. Fill in the blank: At their maximum regulation sizes, the volume of a rugby union football has approximately _____ times the volume of an American football.
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Chapter 6 Solutions
Calculus: Early Transcendentals (3rd Edition)
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