Cylindrical tank

9.6 hl of water is poured into a cylindrical tank with a bottom diameter of 1.2 m. What height in centimeters does the water reach?

Correct answer:

x =  84.8826 cm

Step-by-step explanation:

$$\begin{gathered} D=1.2\text{ m } \\ V=9.6\text{ hl}\to {\text{m}}^3=9.6\mathrm{/}10{\text{m}}^3=0.96{\text{m}}^3 \\ S=\pi \cdot (D\mathrm{/}2{)}^2=3.1416\cdot (1.2\mathrm{/}2{)}^2\doteq 1.131{\text{m}}^2 \\ h=V\mathrm{/}S=0.96\mathrm{/}1.131\doteq 0.8488\text{ m } \\ x=h\to \text{ cm}=h\cdot 100\text{ cm}=0.8488\cdot 100\text{ cm}=84.883\text{ cm}=84.8826\text{ cm} \end{gathered}$$

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