Explanation Given: A right circular cylinder inscribed in a sphere of radius 20 in Let the radius of cylinder be y in and height of cylinder is 2 x in In Δ O A B , ∠ O A B = 90 ∘ x 2 + y 2 = R 2 [ using pythagoreous theorem ] y = R 2 − x 2 Now find the volume of cylinder, V = π r 2 h V = π ( y ) 2 ( 2 x ) V = π ( R 2 − x 2 ) 2 ( 2 x ) V ( x ) = 2 π x ( R 2 − x 2 ) Derivative w.r

7th Edition

ISBN: 9781524916817

Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE

Publisher: Kendall Hunt Publishing

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Chapter 4.6, Problem 18PS

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To find: The maximum volume of cylinder.

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Chapter 4.6, Problem 17PS

Chapter 4.6, Problem 19PS

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Chapter 4 Solutions

Calculus

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The maximum volume of cylinder.

Solution Summary: The author explains how to find the maximum volume of a circular cylinder.

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Chapter 4 Solutions