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

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