How many shots each having diameter 3cm can be made from a cuboid… - Vidyadip

Question

How many shots each having diameter 3cm can be made from a cuboidal lead solid of dimensions $9cm × 11cm × 12cm?$

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Answer

Given, dimensiond of cuboidal $=9 cm \times 11 cm \times 12 cm$
$\therefore$ Volume of cuboidal $=9 \times 11 \times 12=1188 cm^3$
and diameter of shot $=3 cm$
$\therefore$ Radius of shot, $\text{r}=\frac{3}{2}=1.5\text{cm}$
Volume of shot $=\frac{4}{3}\pi\text{r}^3=\frac{4}{3}\times\frac{22}{7}\times(1.5)^3$
$=\frac{297}{21}=14.143\text{cm}^3$
$\therefore$ Required number of shots $=\frac{1188}{14.143}=84\ (\text{approx})$

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