Problem

Problem

Height of a tank in the form of an inverted cone is 10 m and radius of its circular base is 2 m. The tank contains water and it is leaking through a hole at its vertex at the rate of 0.02 m3/s0.02 \text{ m}^3/\text{s} . Find the rate at which the water level changes and the rate at which the radius of water surface changes when height of water level is 5 m.

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