Explanation Given: Let r be the radius of the conical pile. Height is twice as radius. So, h = 2 r The radius is r = 6 in The rate of increase in the radius is d r d t = 0.75 in per minute Calculation: The volume of a cone is V = 1 3 π r 2 h Substitute h = 2 r in the volume. V = 1 3 π r 2 ( 2 r ) = 2 3 π r 3 Differentiate the volume function with respect to t . d d t ( V ) = d d t ( 2 3 π r 3 ) =

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Chapter 6.5, Problem 28E

To determine

To find: The rate of change in the volume of the pile.

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Chapter 6.5, Problem 27E

Chapter 6.5, Problem 29E

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