# 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

Result

V =  274.889 l

#### Solution:

$t=7 \cdot \ 60=420 \ \text{s} \ \\ D=1 / 10=\dfrac{ 1 }{ 10 }=0.1 \ \text{dm} \ \\ v=30 / 3.6 \cdot \ 10=\dfrac{ 250 }{ 3 } \doteq 83.3333 \ \text{dm/s} \ \\ \ \\ s=v \cdot \ t=83.3333 \cdot \ 420=35000 \ \text{dm} \ \\ r=D/2=0.1/2=\dfrac{ 1 }{ 20 }=0.05 \ \text{dm} \ \\ S=\pi \cdot \ r^2=3.1416 \cdot \ 0.05^2 \doteq 0.0079 \ \text{dm}^2 \ \\ \ \\ 1 \ dm^3=1 \ l \ \\ V=s \cdot \ S=35000 \cdot \ 0.0079 \doteq 274.8894 \doteq 274.889 \ \text{l}$

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