Question

A spherical ball of radius 3cm is melted and recast into three spherical balls.The radii of two of these balls are 1.5cm and 2cm.Find the radius of the third ball..

Answer 1

2.5 cm is right answer

Answer 2

Hey !!

volume of a sphere is => 4/3 πr³

given,
The volume of a original spherical ball=>4/3π(3)³

The spherical ball of radius 3cm is melted and recasted into three spherical balls so the volume of the original spherical ball is equal to the total volume of the three balls.
let the radius of the three ball be 'r'

=>4/3π(3)³=4/3π(1.5)³+4/3π(2)³+4/3π(r)³

=>27=(1.5)³+(2)³+(r)³

=>27=3.375+8+r³

=>r³=15.625

=>r=2.5 answer

and sorry for late answer...

thanks !!

Hope it's help you !!!