Solved: A water tank is in the shape of an inverted cone with depth, Mathematics

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A water tank is in the shape of an inverted cone with depth

Question: A water tank is in the shape of an inverted cone with depth 10 meters and top radius 8 meters. Water is flowing into the tank at 0.1 cubic meters/min but leaking out at a rate of 0.004h2 cubic meters/min, where h is the depth of the water in meters. Can the tank ever overflow?

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Mathematics: A water tank is in the shape of an inverted cone with depth

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Mathematics: A water tank is in the shape of an inverted cone with depth

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