Water flow 2

How many litres of water will flow in 7 minutes from a cylindrical pipe 1 cm in diameter, if the water flows at a speed of 30 km per hour

Correct answer:

V =  274.8894 l

Step-by-step explanation:

$$\begin{gathered} t=7\cdot 60=420\text{ s } \\ D=1\mathrm{/}10={\displaystyle \frac{1}{10}}=0.1\text{ dm } \\ v=30\mathrm{/}3.6\cdot 10={\displaystyle \frac{250}{3}}\doteq 83.3333\text{ dm/s } \\ s=v\cdot t=83.3333\cdot 420=35000\text{ dm } \\ r=D\mathrm{/}2=0.1\mathrm{/}2={\displaystyle \frac{1}{20}}=0.05\text{ dm } \\ S=\pi \cdot r^2=3.1416\cdot 0.05^2\doteq 0.0079{\text{dm}}^2 \\ 1d{m}^3=1l \\ V=s\cdot S=35000\cdot 0.0079=274.8894\text{ l} \end{gathered}$$

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