A hollow sphere of internal and external radii 2 cm and 4 cm respectively is melted into a cone of base radius 4 cm. Find the height and slant height of the cone.

Volume of a sphere = (4/3)πr3


Volume of a cone = (1/3)πr2h


Given, radius of the internal and external surfaces of a hollow spherical shell are 2 cm and 4 cm respectively. It is melted into a cone of base radius 4 cm.


Volume of material in sphere = Volume of the cone



h = 14 cm


L2 = h2 + r2


l = √(142 + 42)


l =√212 = 14.56 cm


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