# 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 result:

h =  0.786 m

#### Solution:

$D=1.8 \ \text{m} \ \\ V=2000 \ l \rightarrow m^3=2000 / 1000 \ m^3=2 \ m^3 \ \\ \ \\ r=D/2=1.8/2=\dfrac{ 9 }{ 10 }=0.9 \ \text{m} \ \\ S=\pi \cdot \ r^2=3.1416 \cdot \ 0.9^2 \doteq 2.5447 \ \text{m}^2 \ \\ \ \\ V=S h \ \\ \ \\ h=V/S=2/2.5447=0.786 \ \text{m}$

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