A metal

A metal cylinder is inserted into the cube with a 20 cm edge so that the cylinder shell and its two bases are in close contact with the walls of the cube from the inside. How much water could be poured into the free space between the cube and the cylinder so that water does not flow out of the cube?

Correct answer:

V =  1716.8147 cm³

Step-by-step explanation:

$$\begin{gathered} a=20\text{cm} \\ {V}_1=a^3=20^3=8000{\text{cm}}^3 \\ r=a/2=20/2=10\text{cm} \\ {V}_2=\pi \cdot r^2\cdot a=3.1416\cdot 10^2\cdot 20\doteq 6283.1853{\text{cm}}^3 \\ V=V_1-V_2=8000-6283.1853=1716.8147{\text{cm}}^3 \end{gathered}$$

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