A solid right circular cone has its base cut out in conical shape shown in figure such that the hollow is a right circular cone on the same base. C. M. of the object coincide with the vertex of the hollow cone. Height of solid cone/height of hollow cone will be

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answer is 3.

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Detailed Solution

Let base area is A and height are $h_{1}$ and $h_{2}$ respectively.
$\frac{A \frac{h_{1}^{2} -}{4} A \frac{h_{2}^{2}}{4}}{A (h_{1} - h_{2})} = h_{2}$
$h_{1} = 3 h_{2}$

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