A cone of semi-vertical angle is inscribed in a sphere of radius a. Show that

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A cone of semi-vertical angle θ is inscribed in a sphere of radius a. Show that the volume of the cone is

Hence prove that the cone of maximum volume that can be inscribed in a sphere of given radius is 8/27 th of the volume of the sphere.

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Modern Engineering Mathematics

ISBN: 9781292253497

6th Edition

Authors: Glyn James

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Question Posted: Jan 13, 2024 09:06 AM

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A cone of semi-vertical angle is inscribed in a sphere of radius a. Show that

Question:

V = na sin0 cos0

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Let V be the volume of the cone then But h a1 cos 20 2a cos ...View the full answer

Modern Engineering Mathematics

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