Prove a famous result of Archimedes: The surface area of the portion of the sphere of radius

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Prove a famous result of Archimedes: The surface area of the portion of the sphere of radius \(R\) between two horizontal planes \(z=a\) and \(z=b\) is equal to the surface area of the corresponding portion of the circumscribed cylinder (Figure 21).

.R b (

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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