Question

The number of spherical bullets each $0.6$ cm in diameter be made out of a rectangular solid $9$ cm $\times$ $11$ cm $\times 12$ cm is __________.

• A. $10250$
• B. $10200$
• C. $10500$
• D. $10550$

Answer 1

The correct option is C $10500$

The volume of rectangular solid $=$ $n\times$ volume of each bullets.

where $n$ is the number of bullets.

$\Rightarrow 9\times 11\times 12=n\times \frac{4}{3}\times \pi \times {\left(.3\right)}^3$

$n$= $\frac{9\times 11\times 12\times 3\times 7}{4\times 22\times (0.3{)}^3}$

$\Rightarrow n=10500$

So, option C is the correct.