A steel rod of 4 cm diameter and 14 cm length is used in the making of solid cubical dice. If the length of each side of each dice is 4 mm, then how many such dice can be made from this rod?

A steel rod of 4 cm diameter and 14 cm length is used in the making of solid cubical dice.

radius of rod = $$\frac{4}{2}\ =\ 2$$ cm

length of rod = 14 cm

If the length of each side of each dice is 4 mm.

length of each side of each dice = 4 mm

= $$\frac{4}{10}$$ cm [Because we know that 1 cm = 10 mm.]

= 0.4 cm

Let's assume the number of such dices can be made from this rod is 'n'.

So the volume of rod = n $$\times$$ volume of each dice

$$\pi\times\left(radius\right)^2\times\ length =n\times\left(length\ of\ each\ side\right)^3$$

So the number of such dice can be made from this rod = 2750