A solid metallic sphere of radius 10 cm is melted and recast into spheres of radius 2 cm each. How many such spheres can be made?

64 216 100 125

125

We know that, Volume of Sphere = 4/3πr3 We have, The radius of a solid metallic sphere = 10 cm The radius of a smaller sphere = 2 cm According to the question, Let the number of smaller spheres formed = x = 4/3 × π × 103 = x × 4/3 × π × 23 = x = (10/2)3 = x = 125