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18. The height of a right circular cone is 20 cm. A small cone is cut off at the
top by a plane parallel to the base. If its volume be 7 of the volume of
the given cone, at what height above the base is the section made?
[HOTS] [CBSE 2014]
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Answer:
When a small cone is cut off from the top of the cone, the ratio of the radii of the bases is equal to the ratio of the heights. Hence, the height of the small cone = H/2 = 10 cm
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