# AddendumtestIIIc1 - dimensional shape formed by revolving...

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Addendum David Howard July 16 2009 This question is due at the start of Class tomorrow Friday July 17. You may work together but you may not ask any members outside of our class (nor may you ask Ulfar, myself, or tutors for help). Additionally, the write up for the question must be ON YOUR OWN, no other member in class may look over or copy any part of your write-up. Any cheating found on this assignment will be considered cheating on the test and I will report you to the Oﬃce of Student Integrity. SHOW YOUR WORK!!!. 1. (15 points) A rugby ball is an example of a prolate spheroid, which is the three-
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Unformatted text preview: dimensional shape formed by revolving the upper half of an ellipse around the x-axis. Recall that an ellipse has the formula x 2 a 2 + y 2 b 2 = 1, where a is the distance from the center of the ellipse to one of its ends and that b is the distance from the center to the top of the ellipse. Using techniques from this class, ﬁnd the formula for the volume of a prolate ellipsoid. Now if the length of an actual rugby ball is 30 cm and the width is 19 cm (note that means a = 15, b = 9 . 5) what is the volume of a rugby ball? 1...
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## This note was uploaded on 03/21/2010 for the course MATH 1501 taught by Professor N/a during the Summer '08 term at Georgia Tech.

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