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Water is poured into a conical container with height 4 in. and base radius 4 in....

Water is poured into a conical container with height 4 in. and base radius 4 in. When the height of the water in the container is 2.5 inches it is increasing at 3 in/min. At what rate is the lateral surface area of the water changing when the height is 2.5 inches? The formula for the lateral surface area of the cone is Slateral = πrs where s is the slant or lateral length.

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