What is the number of balls of diameter 4 cm that fall from a solid metal sphere of diameter 32 cm?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 512.
Let the number of balls made be n
R1 = Radius of sphere = 32/2 = 16 cm
R2 = Radius of ball = 4/2 = 2 cm
Volume of sphere = 4/3πr3
⇒ 4/3πR13 = 4/3πR23 × n
⇒ 16 × 16 × 16 = 2 × 2 × 2 × n
⇒ 16 × 16 × 2 = n
⇒ n = 512