A solid cone of base radius 10 cm is cut into two parts through the mid-point of its height, by a plane parallel to its base. Find the ratio on the volumes of two parts of the cone.
Given: let the height of the cone be H and its base radius be R
This cone is divided into two parts through the mid-point of the height of the cone such that
ED||BC
Therefore triangle AED is similar to triangle ABC
By the condition of similarity,
Volume of a cone = 1/3 πr2h
Volume of the frustum = Volume of the cone ABC – Volume of the cone AED