Explanation Given information: The height of pile is always three quarter of the radius and height is 3 inches. Also, height of sugar pile is changing at the rate of 1.5inch/sec. Concept and Formula Used: The following differentiation formula are used: d d x ( x n ) = n x n − 1 , Volume of cone is V = 1 3 π r 2 h Calculation: The Volume of cone is V = 1 3 π r 2 h Also h = 3 4 r r = 4 3 h Then V = 1 3 π ( 4 3 h ) 2 h V = 16 27 π h 3 Differentiate both sides with respect to ‘t’ d d t V = d d t ( 16 27 π h

14th Edition

ISBN: 9781464140051

Author: TAALMAN, Laura, Kohn, Peter

Publisher: W. H. Freeman

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Chapter 3.5, Problem 56A

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To Calculate: The rate of change of Volume of the conical sugar pile.

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Chapter 3.5, Problem 55A

Chapter 3.5, Problem 57A

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Chapter 3 Solutions

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The rate of change of Volume of the conical sugar pile.

Solution Summary: The author calculates the rate of change of volume of the conical sugar pile.

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To Calculate: The rate of change of Volume of the conical sugar pile.

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Chapter 3 Solutions