Related Rates Conical Tank
Water is pumped into an inverted conical tank at a rate of . The tank has a height of 5 meters and a radius of 2 meters at the top. The volume of water in the tank is given by , where is the radius of the water’s surface and is the height of the water. For this tank, the relationship between the radius and height is . At what rate is the height of the water increasing when the water is 3 meters deep?
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