The number of spherical bullets each 5dm in diameter which can be… - Vidyadip

Question

The number of spherical bullets each 5dm in diameter which can be cast from a rectangular block of lead 11m long, 10m broad and 5 high is:

✓

Answer

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
$\text{n}\times\frac{4}{3}\pi\text{r}^3=\text{l}\times\text{b}\times\text{h}$
$\text{n}\times\frac{4}{3}\times\frac{22}{7}\times0.25\times0.25\times0.25=11\times10\times5$
$\text{n}=\frac{11\times10\times5\times21}{88\times0.25\times0.25\times0.25}$
$\text{n}=8400$

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