Question

Question 2
How many shots each having diameter 3 cm can be made from a cuboidal lead solid of dimensions $9cm\times 11cm\times 12cm$ ?

Answer 1

Given:
Dimensions of cuboid
$=9cm\times 11cm\times 12cm$

$\therefore$ Volume of cuboid
$=9\times 11\times 12=1188c{m}^3(Volumeofcuboid=l\times b\times h)$

Diameter of shot (sphere) = 3 cm
$\therefore Radiusofshot,r=\frac{3}{2}=1.5cm$

$Volumeofshot=\frac{4}{3}\pi r^3=\frac{4}{3}\times \frac{22}{7}\times (1.5{)}^3=\frac{297}{21}=14.143c{m}^3$

$\therefore Requirednumberofshots=\frac{1188}{14.143}=84(approx.)$