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Question: id cm 2002 ape calculus ab question 5 a container...

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ID cm 2002 APe CALCULUS AB Question #5 A container has the shape of an open right circular cone, as shown in the figure above. The height of the container changing at the rate of centimeters per hour (Note: The volume of a cone of height r and radius r is given by V -) (a) Suppose you were asked to find the rate of change of the volume of water in the container when the depth of the water is 5 em. Explain why the formulaVcould not be implicitly differentiated with respect to time in order to determine this rate? What would have to be done in order to find this rate? Indicate correct units of measure. (c) The surface area of the exposed water is changing at a rate of 9π cm2 per hour when the depth of the water is 4 cm. At what rate is the radius of the exposed water changing at this point in time? correct units of measure. Indicate

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