How many solid spheres of radius 3 cm can be formed by melting a bigger solid sphere of radius 24 cm?
Answer & explanation
Correct answer: option 1
We know that,
The volume of sphere = \(\frac{4}{3}\) × π × r3
We have,
The radius of each small sphere = 3 cm
Radius of big sphere = 24 cm
Let the number of small spheres = x
According to the question,
= \(\frac{4}{3}\) × π × 243 = x × \(\frac{4}{3}\) × π × 33
= x = 512