If a hollow sphere of internal and external diamaters 4 cm and 8 cm respectively melted into a cone of base diameter 8 cm, then find the height of the cone.

Volume of a sphere = (4/3)πr3


Volume of a cone = (1/3)πr2h


Given, diameter of the internal and external surfaces of a hollow spherical shell are 4 cm and 8 cm respectively. It is melted into a cone of base diameter 8 cm.


Volume of material in sphere = Volume of the cone



h = 14 cm


8