Water tank

The water tank has a cylindrical shape with a base diameter of 4.2 m and is 80 cm deep. How many minutes will take fill it 10 cm below the edge of the tank if water flowing 2 liters per second?

Correct result:

t =  80.8175 min

Solution:

$$\begin{gathered} D=42\text{ dm } \\ h=(80-10)\mathrm{/}10=7\text{ dm } \\ r=D\mathrm{/}2=42\mathrm{/}2=21\text{ dm } \\ V=\pi \cdot r^2\cdot h=3.1416\cdot 21^2\cdot 7\doteq 9698.0965{\text{dm}}^3 \\ v=2\cdot 60=120\text{ l/min } \\ t=V\mathrm{/}v=9698.0965\mathrm{/}120=80.8175\text{ min} \end{gathered}$$

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