Correct Answer - Option 4 : 512000
Given:
The diameter of small lead ball = 2mm
The radius of big lead ball = 8 cm
Formula used:
The volume of sphere = (4πr3)/3
Required number of the balls = Volume of big lead ball/ Volume of small lead ball
Calculation:
The radius of a small lead ball = 1mm
We know, 1cm = 10 mm
⇒ Radius of small lead ball = 0.1 cm
The volume of small lead ball = (4π × 0.13)/3
The volume of big lead ball = (4π × 83)/3
Required number of the balls = (4π × 83)/3/(4π × 0.13)/3
⇒ 83/0.13 = 512000
∴ The number of small lead ball made from the big lead ball is 512000.
