Two much cones

Geometry Level 2

A circular metallic sheet is divided into 2 parts in such a way that each part can be folded into a right circular cone. If the ratio of their curved surface areas is 1 : 2 1:2 then find the ratio of their volumes.

1 : 18 1:\sqrt {18} 1 : 10 1:\sqrt {10} 2 : 3 2:3 1 : 8 1:8 1 : 16 1:\sqrt {16}

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