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ACT
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Water Tank Fill Time Calculation

Hard Modeling Applied Mathematics

A cylindrical water tank has a radius of 3 meters and a height of 7 meters. The tank is initially filled to a height of 5 meters. Water is being pumped into the tank at a rate of 2 cubic meters per hour.

Calculate the number of hours it will take to fill the tank to its maximum capacity.

Use $$V = ext{base area} imes ext{height}$$ where the base area of the cylinder is given by $$A = ext{radius}^2 imes ext{π}$$.

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