# 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?

Result

x =  2.21 cm

#### Solution:

$D=24 \ \text{cm} \ \\ V=1 \ l=1 \cdot \ 1000 \ cm^3=1000 \ cm^3 \ \\ \ \\ r=D/2=24/2=12 \ \text{cm} \ \\ S=\pi \cdot \ r^2=3.1416 \cdot \ 12^2 \doteq 452.3893 \ \text{cm}^2 \ \\ x=V/S=1000/452.3893 \doteq 2.2105 \doteq 2.21 \ \text{cm}$

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