Hollow Cone

Geometry Level 3

A hollow cone is cut by a plane parallel to the base and the upper portion is removed. If the curved surface area of the remainder is 8 9 th \frac{8}{9}^{\text{th}} of the curved surface of the whole cone, What is the ratio of the line segments into which the cone 's altitude is divided by the plane.

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1 : 9 1:9 1 : 3 1:3 8 : 9 8:9 1 : 2 1:2

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