A cone with height is inscribed in a larger cone with height H so that its vertex

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A cone with height is inscribed in a larger cone with height H so that its vertex is at the center of the base of the larger cone. Show that the inner cone has maximum volume when h = 1/3H.

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Fundamentals of Physics

ISBN: 978-0471758013

8th Extended edition

Authors: Jearl Walker, Halliday Resnick

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Question Posted: Jun 30, 2010 03:54 AM

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A cone with height is inscribed in a larger cone with height H so that its vertex

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Vr 0 h h H By similar triangles 1 The volume of the inner cone is Hr V rh so well so...View the full answer

Fundamentals of Physics

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