If a solid sphere of radius r is melted and cast into the shape of a solid cone of height r, then the radius of the base of the cone is

Volume of a sphere = (4/3)πr3


Volume of a solid cone = (1/3)πr2h


Given, solid sphere of radius r is melted and cast into the shape of a solid cone of height r


Let the base radius be A.


(4/3)πr3 = (1/3)π × A2 × r


A = 2r

12