Question : A metallic solid sphere has a radius of 35 cm. If it is melted to form small spheres of radius 5 cm, then how many small spheres will be obtained?
Option 1: 343
Option 2: 289
Option 3: 429
Option 4: 369
Correct Answer: 343
Solution :
For the large sphere with a radius of 35 cm,
⇒
Now, for the small spheres with a radius of 5 cm,
⇒
So, the number of small spheres =
=
=
=
=
Hence, the correct answer is 343.