7.5 Conversion of Solids from one shape to another with no change in Volume · Part 5

( B ) p ( C ) p ( D ) p . A solid sphere of radius x cm is melted and cast into a shape of a solid cone of same radius. The height of the cone is ( A ) x cm ( B ) x cm ( C ) x cm ( D ) x cm . A frustum of a right circular cone is of height cm with radii of its ends as cm and cm. Then, the volume of the frustum is ( A ) p cm ( B ) p cm ( C ) p cm ( D ) p cm . A shuttle cock used for playing badminton has the shape of the combination of ( A ) a cylinder and a sphere ( B ) a hemisphere and a cone ( C ) a sphere and a cone ( D ) frustum of a cone and a hemisphere . A spherical ball of radius r units is melted to make new identical balls each of radius r units. Then r : is ( A ) : ( B ) : ( C ) : ( D ) : . The volume (in cm ) of the greatest sphere that can be cut off from a cylindrical log of wood of base radius cm and height cm is ( A ) p ( B ) p ( C ) p ( D ) p . The height and radius of the cone of which the frustum is a part are h units and r units respectively. Height of the frustum is h units and radius of the smaller base is r units. If h h : : then r : is ( A ) : ( B ) : ( C )