It is given that,
A metallic block of dimension $11dm\times 1m\times 5dm$
The diameter of each bullet $=5cm$
As, we know that
Formula of volume of the sphere $=4\pi {{r}^{3}}$
As, we know that, $1dm={{10}^{-1}}m=0.1m$
The volume of the rectangular block $=1.1\times 1\times 0.5=0.55{{m}^{3}}$
Radius of the bullet $=5/2=2.5cm$
Assume the number of bullets made from the rectangular block be n.
Now from the question,
The volume of the rectangular block $=$ sum of the volumes of the n spherical bullets
$0.55=n\times 43\pi {{\left( 2.5 \right)}^{3}}$
Solving for n, we have
$n=8400$
Hence, $8400$ can be cast from the rectangular block of metal.