Three solid spheres of a metal whose radii are 1 cm, 6 cm

Home » Aptitude » Mensuration » Question

Three solid spheres of a metal whose radii are 1 cm, 6 cm and 8 cm are melted to form an other solid sphere. The radius of this new sphere is

	4	πr³
	3

=	4	π (1)³ +	4	π (6)³ +	4	π (8)³
	3		3		3

=	4	πr³ =	4	(1 + 216 + 512)
	3		3

⇒ r³ = 729 ⇒ r = ³√729
⇒ r = 9 cm