Barrel-shaped 21933

We have a barrel-shaped barrel that has a bottom diameter of 60 cm. How many cm will the water level rise if we add 50 liters of water to the barrel?

Correct answer:

x =  17.6839 cm

Step-by-step explanation:

$$\begin{gathered} D=60\text{cm} \\ V=50\text{l}\to {\text{cm}}^3=50\cdot 1000{\text{cm}}^3=50000{\text{cm}}^3 \\ r=D/2=60/2=30\text{cm} \\ S=\pi \cdot r^2=3.1416\cdot 30^2\doteq 2827.4334{\text{cm}}^2 \\ V=S\cdot x \\ x=V/S=50000/2827.4334=17.6839\text{cm} \end{gathered}$$

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