Correct Answer - Option 1 : 13824
Given:
Diameter of bigger ball is D = 24 cm
The radius of bigger ball R = 12 cm
Radius of smaller ball r = 0.5 cm
Formula required:
Number of balls = Volume of bigger ball /Volume of a smaller ball
The volume of sphere = 4 × π × r3/3
Calculations:
Number of balls = \(\frac{ 4 × π × R^3/3}{ 4 × π × r^3/3}\)
⇒ (12 × 12 × 12) /(0.5 × 0.5 × 0.5) = 13824
∴ The number of balls is 13824
