Cylinder 19723

Pool in the shape of a cylinder with a diameter of 10 meters and a height of 1m 80cm. How long will it be filled with a pipeline with a flow rate of 5,000 liters per hour?

Correct answer:

t =  28.2743 h

Step-by-step explanation:

$$\begin{gathered} D=10\text{m} \\ h=1.80\text{m} \\ Q=5{\text{m}}_3\text{/h} \\ r=D/2=10/2=5\text{m} \\ V=\pi \cdot r^2\cdot h=3.1416\cdot 5^2\cdot 1.8\doteq 141.3717{\text{m}}^3 \\ t=V/Q=141.3717/5=28.2743\text{h} \end{gathered}$$

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