Water is flowing into a conical tank at a rate of 5 m3/sec.  The tank has a height which is twice the tank’s diameter.  If volume of a cone is V = π r^2 h / 3 where r is the radius of base and h is the height. Find the volume of water in the tank as a function of the water level h. Find h as a function of time t while the tank is filling. If the tank has a leak of 2 m3/s how does that change your answer to b?

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