Cylinder-shaped 21363

82 hl of water per hour flows into the empty cylinder-shaped pool with a bottom diameter of 7.5 m. How high will the pool be filled if the water has flowed in for 4 hours?

Correct answer:

h =  0.7424 m

Step-by-step explanation:

$$\begin{gathered} D=7.5\text{m} \\ Q=82\text{hl}\to {\text{m}}^3=82:10{\text{m}}^3=8.2{\text{m}}^3 \\ t=4\text{h} \\ V=Q\cdot t=8.2\cdot 4=\frac{164}{5}=32.8{\text{m}}^3 \\ {S}_1=\pi \cdot (D/2{)}^2=3.1416\cdot (7.5/2{)}^2\doteq 44.1786{\text{m}}^2 \\ V=S_1\cdot h \\ h=V/S_1=32.8/44.1786=0.7424\text{m} \end{gathered}$$

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