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A cone of height 20 cm is divided into two parts by a plane through the mid-point of its axis, parallel to the base.
Find the ratio of the volume of the upper small cone to the volume of the lower frustum.

Class 10Frustum of a ConeMensuration
  • A1 : 7
  • B1 : 8
  • C1 : 4
  • D1 : 3

Step-by-Step Solution

Small cone is half the height, so its linear scale is and volume scale is of the full cone. Frustum = . Ratio small : frustum = .
Answer: A) 1 : 7

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