Water level

How high is the water in the swimming pool with dimensions of 37 m in length and 15 m in width if an inlet valve is opened for 10 hours, flowing 12 liters of water per second?

Final Answer:

x =  0.7784 m

Step-by-step explanation:

$$\begin{gathered} a=37\text{m} \\ b=15\text{m} \\ S=a\cdot b=37\cdot 15=555{\text{m}}^3 \\ t=10\cdot 3600=36000\text{s} \\ V=t\cdot 12=36000\cdot 12=432000\text{l} \\ {V}_1=V\to {\text{m}}^3=V:1000{\text{m}}^3=432000:1000{\text{m}}^3=432{\text{m}}^3 \\ x=V_1/S=432/555=0.7784\text{m} \end{gathered}$$

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