# CBSE Class 10-Mathematics: Chapter –13 Surface Areas and Volumes Part 27

Doorsteptutor material for CBSE is prepared by world's top subject experts: fully solved questions with step-by-step explanation- practice your way to success.

**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.

**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