Question 3
(CZS) A tetrahedron $ABCD$ is given. The lengths of the edges $AB$ and $CD$ are $a$ and $b$, respectively, the distance between the lines $AB$ and $CD$ is $d$, and the angle between them is equal to $\omega$. The tetrahedron is divided into two parts by the plane $\pi$ parallel to the lines $AB$ and $CD$. Calculate the ratio of the volumes of the parts if the ratio between the distances of the plane $\pi$ from $AB$ and $CD$ is equal to $k$.