A right circular cylinder is placed inside a cone of radius R and height H so that

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A right circular cylinder is placed inside a cone of radius R and height H so that the base of the cylinder lies on the base of the cone.

a. Find the dimensions of the cylinder with maximum volume. Specifically, show that the volume of the maximum-volume cylinder is 4/9 the volume of the cone.

b. Find the dimensions of the cylinder with maximum lateral surface area (area of the curved surface).

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

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Question Posted: Mar 05, 2019 05:11 AM

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A right circular cylinder is placed inside a cone of radius R and height H so that

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a Let r and h be the radius and height of the inscribed cylinder The r...View the full answer

Calculus Early Transcendentals

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