A solid sphere of 6 cm diameter is melted and recast into

Home » Aptitude » Mensuration » Question

A solid sphere of 6 cm diameter is melted and recast into 8 solid spheres of equal volume. The radius (in cm) of each small sphere is

Volume of original sphere =	4	πr³=	4	π × 3 × 3 × 3 = 36π cu.cm.
	3		3

∴ 8 ×	4	πr₁³ = 36π
	3

⇒ r₁³ =	36 × 3	=	27
	8 × 4		8

⇒r₁ = ³√	27	=	3
	8		2

= 1.5 cm