Question

If a cone of radius 10 cm is divided into two parts by drawing a plane through the mid-point of its axis, parallel to its base. Compare the volumes of the two parts.

Answer 1

Consider a cone of radius R and height H.

Let a cone of height is cutout from this cone whose base is parallel to the original cone. Now is

Volume of cone ABC

Volume of cone ADE

Now volume of remaining frustum of cons EDCB

= volume of cone ABC − volume of cone AED

$=\frac{7}{8}(volumeofconeABC)$

Comparing the volume of cone AED and frustum EDBC we get, the ratio 1 : 7.