A fuel tank 20' high with 8' radii, with a valve 9" in diameter. It is known that the rate at which the height of the fuel in the tank will change is proportional to the ratio of the squares of the diameters of the valve and the tank and the square root of the height of the liquid in the tank, with constant of proportionality k=(2g)^1/2 (where g is the force of gravity[using the imperial: 32ft/sec]) We need to how much fuel will need to be contained if a leak starts with a full tank at five minutes and ten minutes.

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