Question

The number of balls of radius $1cm$ that can be made from a solid sphere of radius $4cm$ is

• A. $64$
• B. $16$
• C. $12$
• D. $4$

Answer 1

The correct option is A $64$

Let $n$ balls can be made then

We can solve for $n$ as,

Volume of solid sphere of radii $4$ cm $=n\times$ Volume of balls with radii $1$ cm
$\frac{4}{3}\times \pi \times 4^3=n\times \frac{4}{3}\times \pi \times 1^3$

$n=64$
Hence, we can make $64$ balls of radii $1$ cm out of solid sphere of radii $4$ cm.