Question

How many spherical bullets can be made out of a solid cube of lead whose edge measures 44 cm if each bullet has radius 2 cm?

• A. 3000
• B. 2541
• C. 1779
• D. 2332

Answer 1

The correct option is B 2541

Volume of the cube of side 44 $c{m}^2$=$44\times 44\times 44c{m}^3$
Let the number of bullets be N Radius is 2 cm Therefore
Total volume of N spheres=Volume of the cube
$N\cdot \frac{4}{3}\times \frac{22}{7}\times 2\times 2\times 2=44\times 44\times 44$
$N=\frac{44\times 44\times 44\times 3\times 7}{4\times 22\times 2\times 2\times 2}=2541cm$