Question

How many spherical bullets can be made out of a cube of lead whose edge measures $22$cm, each bullet being $2$cm in diameter?

• A. $1347$
• B. $2541$
• C. $2662$
• D. $5324$

Answer 1

Answer: (B)

$2541$

Volume of cube, $V=(side{)}^3=({22}^3)c{m}^3$

Volume of one spherical bullets, $v=\frac{4}{3}\pi r^3=\frac{4}{3}\pi \left(1^3\right)c{m}^3$

Number of spherical bullets$=\frac{V}{v}=\frac{{22}^3\times 3}{4\times \pi \times 1^3}=2541$