Correct Answer - Option 3 : 64
Given:
The radius of the small sphere, r = 14 cm
The radius of the larger sphere, R = 56 cm
Formula:
The volume of the sphere = (4/3)πr3
Where,
r = radius of the sphere
Calculation:
Let the number of the small spheres be n.
According to the question, we have
(4/3) × π × 14 × 14 × 14 × n = (4/3) × π × 56 × 56 × 56
⇒ n = (56 × 56 × 56)/(14 × 14 × 14)
⇒ n = 4 × 4 × 4
⇒ n = 64
∴ The numbers of small spheres is 64.
