A right circular cone is divided by a plane parallel to its base into a small cone of volume \( ...

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A right circular cone is divided by a plane parallel to its base into a small cone of volume \( \mathrm{V}_{1} \) at the top and large cone of volume \( \mathrm{V}_{2} \). If \( \mathrm{V}_{1}: \mathrm{V}_{2}=8: 27 \). Find the ratio of height of cone to that of frustum.
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