Q. 19

A hollow sphere of internal and external diameters 4 cm and 8 cm respectively is melted into a cone of base diameter 8 cm. Calculate the height of the cone.

Answer :

Given, internal radius of hollow sphere, r = (4/2) = 2cm

External radius = 8/2 = 4cm

Volume of hollow sphere =


Given, diameter of the cone = 8cm

Radius of the cone = 4 cm

Let height of the cone be h

Volume of the cone =


Since hollow sphere is melted into a cone so their volumes are equal,

h = 12cm

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