Correct Answer - Option 4 : 5 cm
Given:
Radius of a solid sphere = 10 cm
Number of solid spherical balls = 8
Concept Used:
For number of balls we have to equate the volume of all the balls and the solid sphere volume
Formula Used:
Volume of a sphere = (4/3)πr3, here r = Radius of the sphere
Calculation:
Let radius of a solid spherical ball be R cm
(4/3)π(10 cm)3 = 8 × (4/3)πR3
⇒ R3 = 1000/8
⇒ R3 = 125
⇒ R = 5
Radius of a spherical ball = 5 cm
∴ The radius of each small spherical ball is 5 cm