A right circular cone is 3.6 cm high and radius of its base is 1.6 cm. It is melted and recast into a right circular cone with radius of its base as 1.2 cm. Find its height.

Explanation

Given that
the hight of a right circular cone `h_1=3.6 cm`
and `r_1=1.6 cm`
It is melted and recast into a right circular cone.
new radius `r_2=1.2 cm`
now volume of the both cone is same.
so
`pir_1^2h_1=pir_2^2h_2`
`h_2=r_1^2h_1/r_2^2`
`=7.68 cm`