Question

A solid sphere of radius 6 mm is melted and then cast into small spherical balls each of radius 0.6 mm. Find the number of balls thus obtained.

• A. 1000
• B. 2000
• C. 4000
• D. 3000

Answer 1

The correct option is A 1000

Let number of small balls be $x$
Therefore Volume of $x$ small balls = volume of sphere
$x=\frac{6\times 6\times 6}{0.6\times 0.6\times 0.6}=\frac{216}{0.216}$
$x=1000$
$\therefore$ Number of balls = 1000