Question

How many spherical bullets can be made out of a solid cube of lead whose edge measures $44cm$, each bullet being $4cm$ in diameter.

• A. $2451$
• B. $2541$
• C. $2304$
• D. $2536$

Answer 1

Answer: (B)

$2541$

Number of spherical bullets formed $=\frac{Volumeofcube}{Volumeofonesphericalbullet}$
Volume of a cube of edge a $=a^3$

Volume of a sphere of radius 'r' $=\frac{4}{3}\pi r^3$
As the diameter of the sphere is $4$ cm, its radius r $=2$ cm

Hence, number of spherical bullets formed $=\frac{44\times 44\times 44}{\frac{4}{3}\times \frac{22}{7}\times 2\times 2\times 2}=2541$