Question

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

• A. $2$
• B. $3$
• C. $4$
• D. $5$

Answer 1

The correct option is A $2$

Number of spherical bullets formed $=\frac{\text{Volume of cube}}{\text{Volume of one spherical bullet}}$
Volume of a cube$=a^3$

Volume of a sphere $=\frac{4}{3}\pi r^3$

As the diameter of the sphere is $4$ cm, its radius r $=2$ cm.

Hence, number of spherical bullets formed $=\frac{4\times 4\times 4}{\frac{4}{3}\times \frac{22}{7}\times 2\times 2\times 2}=1.909\approx 2$