Cylinder

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. Please the resulting value round and write it as an integer.

Correct answer:

h =  3 m

Step-by-step explanation:

$$\begin{gathered} D=1\text{m} \\ r=D/2=1/2=\frac{1}{2}=0.5\text{m} \\ V=1413\text{l}\to {\text{m}}^3=1413:1000{\text{m}}^3=1.413{\text{m}}^3 \\ k=60\%=\frac{60}{100}=\frac{3}{5}=0.6 \\ V=\pi r^{2}h \\ {h}_1=\frac{V}{\pi \cdot r^2}=\frac{1.413}{3.1416\cdot 0.5^2}\doteq 1.7991\text{m} \\ k\cdot h=h_1 \\ h=h_1/k=1.7991/0.6=3\text{m} \end{gathered}$$

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