Water is flowing into the top of a tank at a rate of $200 mathrm{gpm}$. The tank

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Water is flowing into the top of a tank at a rate of $200 \mathrm{gpm}$. The tank is $18 \mathrm{in}$. in diameter and has a 3 in. diameter hole in the bottom, through which the water flows out. If the inflow rate is adjusted to match the outflow rate, what will the height of the water be in the tank if friction is negligible?

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