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Standard IX
Maths
Volume of Cone
Question

The height of a cone is $$30 \ cm$$. A small cone is cut off at the top by a plane parallel to its base. If its volume be $$ \dfrac{1}{27}$$ of the volume of the given cone, at what height above the base is the section cut?

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The height of a cone is $$30 \ cm$$. A small cone is cut off at the top by a plane parallel to its base. If its volume be $$ \dfrac{1}{27}$$ of the volume of the given cone, at what height above the base is the section cut?
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