A cone is cut by a plane parallel to its base so that the smaller removed cone has all linear dimensions equal to half those of the original cone. Find the ratio of the volume of the remaining frustum to the volume of the small cone.

Physics · Mathematical tools and vector · Geometry & Mensuration

NEETJEE Mains

A cone is cut by a plane parallel to its base so that the smaller removed cone has all linear dimensions equal to half those of the original cone. Find the ratio of the volume of the remaining frustum to the volume of the small cone.