Surface Areas and Volumes — Maths STD 9 — Question

3. 8400.

Solution:

Here, radius of spherical bullets = 2.5dm or 0.25m(1dm = 0.1m)

Let the number of bullets be n

Now, volume of n number of bullets = volume of rectangular block

$\text{n}\times\frac{4}{3}\pi\text{r}^3=\text{l}\times\text{b}\times\text{h}$

$\text{n}\times\frac{4}{3}\times\frac{22}{7}\times0.25\times0.25\times0.25=11\times10\times5$

$\text{n}=\frac{11\times10\times5\times21}{88\times0.25\times0.25\times0.25}$

$\text{n}=8400$