Question

A solid metallic spherical ball of diameter 6 cm is melted and recast into a cone with diameter of the base as 12 cm. The height of the cone is

Options

• 2 cm

• 3 cm

• 6 cm

Answer 1

Clearly,

The volume of recasted cone = volume of sphere

`1/3 pi(12/2)^2 xx h = 4/3 pi (6/3)^3`

       `1/3 xx 36 xx h = 4/3 xx 27`

                           `h = (4 xx 27 xx 3 )/(3 xx 36)`

                           ` h = 3 cm`