A spherical cap (Figure 24) of radius r and height h has volume V h 2 (r 1 3h) and surface area S 2rh Prove that the hemisphere encloses the largest volume among all spherical caps of fixed surface area S T h ...

Consider all spherical caps of fixed surface area S ...

A spherical cap (Figure 24) of radius r and height h has volume V = h 2

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A spherical cap (Figure 24) of radius r and height h has volume V = πh²(r − 1/3h) and surface area S = 2πrh. Prove that the hemisphere encloses the largest volume among all spherical caps of fixed surface area S.

T h!

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Question Posted: Nov 17, 2023 02:52 AM

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A spherical cap (Figure 24) of radius r and height h has volume V = h 2

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T h!

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Calculus

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