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Water is flowing at the rate of 5 m3 /min into a tank in the form...

Water is flowing at the rate of 5 m3 /min into a tank in the form of a cone of altitude 20 m and a base radius of 10 m, with its vertex in the downward direction.

a) How fast is the water level rising when the water is 8m deep?

b) If the tank has a leak at the bottom and the water level is rising at 0.084 m/sec when the water is 8 m deep, how fast is the water leaking?

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