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?
Answer & explanation
Correct answer: option 1
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