Water level

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

Correct answer:

x =  0.7784 m

Step-by-step explanation:

$$\begin{gathered} a=37\text{ m } \\ b=15\text{ m } \\ S=a\cdot b=37\cdot 15=555{\text{m}}^3 \\ t=10\cdot 3600=36000\text{ s } \\ V=t\cdot 12=36000\cdot 12=432000\text{ l } \\ {V}_1=V\to {\text{m}}^3=V\mathrm{/}1000{\text{m}}^3=432000\mathrm{/}1000{\text{m}}^3=432{\text{m}}^3 \\ x=V_1\mathrm{/}S=432\mathrm{/}555={\displaystyle \frac{144}{185}}=0.7784\text{ m} \end{gathered}$$

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