# If the radius of each bullet is 0.2 cm then the number of bullets can be made from a sphere of 8cm radius is

Considering a bullet made is a sphere then volume of bullet is $\frac{4}{3}\pi {r}^{3}$.

Volume of bigger sphere is $\frac{4}{3}\pi {r}^{3}$ = $\frac{4}{3}\pi (8{)}^{3}=\frac{4}{3}\pi (512)$

Volume of a bullet is $\frac{4}{3}\pi {r}^{3}$ = $\frac{4}{3}\pi (0.2{)}^{3}=\frac{4}{3}\pi (0.008)$

Volume of

*n*bullets is equal to

*v*olume of bigger sphere, so

$n\frac{4}{3}\pi (0.008)=\frac{4}{3}\pi \left(512\right)\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}or,n=\frac{512}{0.008}\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}or,n=\frac{512*1000}{8}=64000$

So 64000 bullets can be made from the sphere.

Regards

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