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?
Answer & explanation
Correct answer: option 4
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