The height of a cone is 30cm. A small plane parallel to its base cuts a small cone at the top of it.If it’s volume is 1/27th of the volume of the cone, what is the height of the smaller cone?

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The height of a cone is 30cm. A small plane parallel to its base cuts a small cone at the top of it.If it’s volume is 1/27th of the volume of the cone, what is the height of the smaller cone?