We are told that the sand is falling onto the pile at rate of 9 cubic feet per minute. We want to find the rate at whidch the height of the pile is inareasing when the height is 27 feet. This gives us the following informatic dV dt Substitute these values in the equation we found for This gives the rate (in ft/min) at which the height of the pile is increasing when the height is 27 feet tall. dt ft/min

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