Cylinder container

The cylindrical container with a diameter of 1.8 m contains 2,000 liters of water. How high does the water reach?

Correct answer:

h =  0.786 m

Step-by-step explanation:

$$\begin{gathered} D=1.8\text{ m } \\ V=2000\text{ l}\to {\text{m}}^3=2000\mathrm{/}1000{\text{m}}^3=2{\text{m}}^3 \\ r=D\mathrm{/}2=1.8\mathrm{/}2={\displaystyle \frac{9}{10}}=0.9\text{ m } \\ S=\pi \cdot r^2=3.1416\cdot 0.9^2\doteq 2.5447{\text{m}}^2 \\ V=Sh \\ h=V\mathrm{/}S=2\mathrm{/}2.5447=0.786\text{ m} \end{gathered}$$

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