Pool filling

82 hl of water/hour flows into the empty cylinder-shaped pool with a diameter of 5 m. To what height will the pool be filled if water flows for 4 hours?

Final Answer:

h =  1.6705 m

Step-by-step explanation:

$$\begin{gathered} D=5\text{m} \\ r=D/2=5/2=\frac{5}{2}=2.5\text{m} \\ {V}_1=82\text{hl}\to {\text{m}}^3=82:10{\text{m}}^3=8.2{\text{m}}^3 \\ t=4\text{h} \\ S=\pi \cdot r^2=3.1416\cdot 2.5^2\doteq 19.635{\text{m}}^2 \\ V=V_1\cdot t=8.2\cdot 4=\frac{164}{5}=32.8{\text{m}}^3 \\ h=V/S=32.8/19.635=1.6705\text{m} \end{gathered}$$

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