Cylinder

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

Correct result:

S =  698.913 dm2

Solution:

D=1.8 m→dm=1.8⋅ 10 dm=18 dm r=D/2=18/2=9 dm  V=2000 l→dm3=2000⋅ 1 dm3=2000 dm3  S1=π⋅ r2=3.1416⋅ 92≐254.469 dm2  h=V/S1=2000/254.469≐7.8595 dm  S=S1+π⋅ D⋅ h=254.469+3.1416⋅ 18⋅ 7.8595=698.913 dm2D=1.8 \ m \rightarrow dm=1.8 \cdot \ 10 \ dm=18 \ dm \ \\ r=D/2=18/2=9 \ \text{dm} \ \\ \ \\ V=2000 \ l \rightarrow dm^3=2000 \cdot \ 1 \ dm^3=2000 \ dm^3 \ \\ \ \\ S_{1}=\pi \cdot \ r^2=3.1416 \cdot \ 9^2 \doteq 254.469 \ \text{dm}^2 \ \\ \ \\ h=V/S_{1}=2000/254.469 \doteq 7.8595 \ \text{dm} \ \\ \ \\ S=S_{1} + \pi \cdot \ D \cdot \ h=254.469 + 3.1416 \cdot \ 18 \cdot \ 7.8595=698.913 \ \text{dm}^2

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