Cylindrical 46983

62.8 hl of water per hour flows through the pipe into an empty cylindrical tank with a bottom diameter of 8 m. In 4 hours, the tank will be filled to what height?

Correct answer:

x =  0.5 m

Step-by-step explanation:

$$\begin{gathered} D=8\text{m} \\ Q=62.8\text{hl}\to {\text{m}}^3=62.8:10{\text{m}}^3=6.28{\text{m}}^3 \\ t=4\text{h} \\ V=t\cdot Q=4\cdot \frac{157}{25}=\frac{4\cdot 157}{25}=\frac{628}{25}=25.12{\text{m}}^3 \\ r=D/2=8/2=4\text{m} \\ V=\pi r^{2}x \\ x=\frac{V}{\pi \cdot r^2}=\frac{25.12}{3.1416\cdot 4^2}=0.5\text{m} \end{gathered}$$

Try another example