The lateral surface area of a cone of radius r and height h (the surface area excluding

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The lateral surface area of a cone of radius r and height h (the surface area excluding the base) is A = πr√r2 + h2.

a. Find dr/dh for a cone with a lateral surface area of A = 1500π.

b. Evaluate this derivative when r = 30 and h = 40.

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

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

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