CBSE Class 10-Mathematics: Chapter –13 Surface Areas and Volumes Part 27
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Question 9:
A cone of radius divided into two parts by drawing a plane through the mid-point of its axis, parallel to its base. Compare the volume of the two parts.

Compare the Volume of the Two Parts
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Answer:
Let OAB be the cone and be its axis and P be the mid-point of
Let
Then
And
Also
(i) A smaller cone of radius and height
(ii) Frustum of a cone in which
Volume of smaller cone
Volume of frustum of the cone
Ratio of required volume