Cylinder

In a 1-meter diameter cylinder is 1413 liters of water, which is 60% of the cylinder. Calculate the cylinder height in meters, do not write the units. The resulting value round and write as an integer.

Result

h =  3 m

Solution:

D=1 r=D/2=1/2=12=0.5 V=1413/103=1.413 V=πr2 h h1=V/(π⋅ r2)=1.413/(3.1416⋅ 0.52)≐1.7991 0.60 h=h1 h=h1/0.60=1.7991/0.60≐2.9985≐3 mD=1 \ \\ r=D/2=1/2=\dfrac{ 1 }{ 2 }=0.5 \ \\ V=1413/10^3=1.413 \ \\ V=\pi r^2 \ h \ \\ h_{1}=V/(\pi \cdot \ r^2)=1.413/(3.1416 \cdot \ 0.5^2) \doteq 1.7991 \ \\ 0.60 \ h=h_{1} \ \\ h=h_{1}/0.60=1.7991/0.60 \doteq 2.9985 \doteq 3 \ \text{m}

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