# Cube into cylinder

If we dip a wooden cube into a barrel with a 40cm radius, the water will rise 10 cm. What is the size of the cube edge?

Result

a =  36.905 cm

#### Solution:

$r=40 \ \text{cm} \ \\ h=10 \ \text{cm} \ \\ \ \\ V=\pi \cdot \ r^2 \cdot \ h=3.1416 \cdot \ 40^2 \cdot \ 10 \doteq 50265.4825 \ \text{cm}^3 \ \\ \ \\ V=a^3 \ \\ \ \\ a=\sqrt{ V}=\sqrt{ 50265.4825 } \doteq 36.9054 \doteq 36.905 \ \text{cm}$ Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!

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