Pipes

The water pipe has a cross-section 1903 cm². An hour has passed 859 m³ of water. How much water flows through the pipe with cross-section 300 cm² per 11 hours if water flows at the same speed?

Final Answer:

V₂ =  1489.6 m³

Step-by-step explanation:

$$\begin{gathered} S_1=1903{\text{cm}}^2 \\ {S}_2=300{\text{cm}}^2 \\ {t}_1=1\text{h} \\ {t}_2=11\text{h} \\ {V}_1=859{\text{m}}^3 \\ {Q}_1=Q_2 \\ {V}_1/t_1=V_2/t_2 \\ {S}_1\cdot v_1\cdot t_1=S_2\cdot v_2/t_2 \\ {V}_2=\frac{t_2}{t_1}\cdot \frac{S_2}{S_1}\cdot V_1=\frac{11}{1}\cdot \frac{300}{1903}\cdot 859=1489.6{\text{m}}^3 \end{gathered}$$

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