A hollow cone is cut by a plane parallel to the base and the upper portion is removed. If the curved surface of the remainer is $\large\frac{8}{9}$ of the curved surface of the whole cone, find the ratio of the line-segment into which the cone’s altitude is divided by the plane.

Question

$\begin{array}{1 1} 1 : 2 \\ 2 : 4 \\ 2:1 \\ 6:7 \end{array}$