CBSE Class 10-Mathematics: Chapter – 13 Surface Areas and Volumes Part 27 (For CBSE, ICSE, IAS, NET, NRA 2022)

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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

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