Question

A sphere of radius 6 cm is melted and recast into spheres of radius 2 cm each. How many such spheres can be made​

Answer 1

Answer:

radius of the sphere r=6cm

volume v=4/3πr³

let the number of spheres that can be recast from the given sphere =n

radius of the spheres recasts R=2cm

volume of n spheres V=n4/3πR³

The volume of the sphere that can be form must be equal to the given sphere

n4/3πR³=4/3πr³

nR³=r³

n(2)³=(6)³

8n=216

n=216/8

n=27

Explanation:

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