Half-filled

A cylindrical pot with a diameter of 24 cm is half-filled with water. How many centimeters will the level rise if we add a liter of water to it?

Correct answer:

x =  2.2105 cm

Step-by-step explanation:

$$\begin{gathered} D=24\text{cm} \\ V=1\text{l}\to {\text{cm}}^3=1\cdot 1000{\text{cm}}^3=1000{\text{cm}}^3 \\ r=D/2=24/2=12\text{cm} \\ S=\pi \cdot r^2=3.1416\cdot 12^2\doteq 452.3893{\text{cm}}^2 \\ x=V/S=1000/452.3893=2.2105\text{cm} \end{gathered}$$

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