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?

Correct result:

a =  36.9054 cm

Solution:

r=40 cm h=10 cm  V=π⋅ r2⋅ h=3.1416⋅ 402⋅ 10≐50265.4825 cm3  V=a3  a=V3=50265.48253=36.9054 cm

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