Pool filling time

The pool is cylindrical, with a diameter of 3.6 meters and a depth of 1.2 meters. How long will it be filled when 2 liters of water flow in 1 second?

Final Answer:

t =  1.6965 h

Step-by-step explanation:

$$\begin{gathered} D=3.6\text{m} \\ h=1.2\text{m} \\ r=D/2=3.6/2=\frac{9}{5}=1.8\text{m} \\ V=\pi \cdot r^2\cdot h=3.1416\cdot 1.8^2\cdot 1.2\doteq 12.2145{\text{m}}^3 \\ Q=2\text{l/s} \\ {V}_2=V\to \text{l}=V\cdot 1000\text{l}=12.2145\cdot 1000\text{l}=12214.51224\text{l} \\ {t}_1=V_2/Q=12214.5122/2\doteq 6107.2561\text{s} \\ t=t_1\to \text{h}=t_1:3600\text{h}=6107.2561:3600\text{h}=1.696\text{h}=1.6965\text{h} \end{gathered}$$

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