Solution:

Given,

A metallic block of dimension 11dm x 1m x 5dm.

The diameter of each bullet = 5 cm

We know that,

Volume of the sphere = 4/3 πr³

Since, 1 dm = 10^-1m = 0.1 m

The volume of the rectangular block = 1.1 x 1 x 0.5 = 0.55 m³

Radius of the bullet = 5/2 = 2.5 cm

Let the number of bullets made from the rectangular block be n.

Then from the question,

The volume of the rectangular block = The sum of the volumes of the n spherical bullets

0.55 = n x 4/3 π(2.5)³

Solving for n, we have

n = 8400

Therefore, 8400 can be cast from the rectangular block of metal.