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?

2750

We know that,

Volume of a cube = a³

Volume of a cylinder = πr²h

We have,

Diameter of rod = 4 cm

then the radius of the rod = 2 

Length = 14 cm

Length of each side of each dice = 4 mm = 0.4 cm

Let no. of dice = n

Now,

π × 2² × 14 = n × (0.4)³

= π56 = n × 0.064

= \(\frac{22}{7}\) × 56 = n × 0.064

= 176 = n × 0.064

n = 2750