# Cylinder

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

Result

S =  698.913 dm2

#### Solution:

$D = 1.8 \ m = 1.8 \cdot \ 10 \ dm = 18 \ dm \ \\ r = D/2 = 18/2 = 9 \ dm \ \\ \ \\ V = 2000 \ l = 2000 \cdot \ 1 \ dm^3 = 2000 \ dm^3 \ \\ \ \\ S_{ 1 } = \pi \cdot \ r^2 = 3.1416 \cdot \ 9^2 \doteq 254.469 \ dm^2 \ \\ \ \\ h = V/S_{ 1 } = 2000/254.469 \doteq 7.8595 \ dm \ \\ \ \\ S = S_{ 1 } + \pi \cdot \ D \cdot \ h = 254.469 + 3.1416 \cdot \ 18 \cdot \ 7.8595 \doteq 698.9134 = 698.913 \ dm^2$

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