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A hemispherical tank of radius R has an outlet of area A_f located at the bottom of the tank. If the tank is filled with

A hemispherical tank of radius R has an outlet of area A_f located at the bottom of the tank. If the tank is filled with water, how long does it take for the tank to empty? Assume the faucet area is small compared to the area of the surface area of the water.

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