Correct Answer - Option 4 : 192
Given:
Radius of a bullet is 6 × Height of bullet
Formula Used:
Volume of cone = 1/3πR2H
Volume of Sphere = 4/3πR3
Calculation:
Let the height of bullet be x
Radius of bullet = 6x
Radius of Sphere = 6x × 2 = 12x
Volume of metallic sphere = no. of bullet × volume of 1 bullet
⇒ 4/3π(12x)3 = n × 1/3π(6x)2x
⇒ n = 12 × 12 × 12 × 4/(6 × 6) = 192
∴ The number of bullet formed is 192