Juice can level

The juice is sold in cans with a radius of 30 mm and a height of 11 cm. There are 0.25 liters of juice in the cans. How many millimeters below the can lid is the level?

Final Answer:

x =  21.5806 mm

Step-by-step explanation:

$$\begin{gathered} r=30\text{mm}\to \text{cm}=30:10\text{cm}=3\text{cm} \\ h=11\text{cm} \\ S=\pi \cdot r^2=3.1416\cdot 3^2\doteq 28.2743{\text{cm}}^2 \\ {V}_1=S\cdot h=28.2743\cdot 11\doteq 311.0177{\text{cm}}^3 \\ {V}_2=0.25\text{l}\to {\text{cm}}^3=0.25\cdot 1000{\text{cm}}^3=250{\text{cm}}^3 \\ V=V_1-V_2=311.0177-250\doteq 61.0177{\text{cm}}^3 \\ {x}_1=V/S=61.0177/28.2743\doteq 2.1581\text{cm} \\ x=x_1\to \text{mm}=x_1\cdot 10\text{mm}=2.1581\cdot 10\text{mm}=21.581\text{mm}=21.5806\text{mm} \end{gathered}$$

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