Question

The number of bullets of radius $2cm$ that can be made from a cube of lead whose side is $44cm$ is:

• A. $2540$
• B. $2541$
• C. $2560$
• D. $2575$

Answer 1

The correct option is B $2541$

The length of cube is the edge $44cm$.

Then volume of cube =$44\times 44\times 44c{m}^3$.

Radius of bullet is $2cm$.

Volume of spherical bullet =$\frac{4}{3}\pi r^2=\frac{4}{3}\pi (2{)}^2=\frac{32\pi }{3}c{m}^3$

If $n$ spherical bullet are made out of the cube, then

$\therefore \frac{32}{3}\times \frac{22}{7}n=44\times 44\times 44$

$\Rightarrow n=\frac{44\times 44\times 44}{32\times 22}=2541$