Cylinder

The 1.8m cylinder contains 2000 liters of water. What area (in dm²) of this container is the water?

Correct answer:

S =  698.9134 dm²

Step-by-step explanation:

$$\begin{gathered} D=1.8\text{ m}\to \text{ dm}=1.8\cdot 10\text{ dm}=18\text{ dm } \\ r=D\mathrm{/}2=18\mathrm{/}2=9\text{ dm } \\ V=2000\text{ l}\to {\text{dm}}^3=2000\cdot 1{\text{dm}}^3=2000{\text{dm}}^3 \\ {S}_1=\pi \cdot r^2=3.1416\cdot 9^2\doteq 254.469{\text{dm}}^2 \\ h=V\mathrm{/}{S}_1=2000\mathrm{/}254.469\doteq 7.8595\text{ dm } \\ S=S_1+\pi \cdot D\cdot h=254.469+3.1416\cdot 18\cdot 7.8595=698.9134{\text{dm}}^2 \end{gathered}$$

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