A goldsmith uses 110 cm3 of gold to make a wire 1 mm in diameter. He will use this wire to make gold chains of equal lengths. If each chain requires 56 cm length of wire, then how many gold chains can he make' [Use π = $\frac{22}{7}$]
Answer & explanation
Correct answer: option 2
We know that,
Volume of a cylinder = πR2H
We have,
Length of wire = 56 cm
Diameter = 1 mm
Then radius = 0.5 mm = 0.05 cm
Gold usage = 110 cm3
The volume of each gold chain = \(\frac{22}{7}\) × (0.05)2 × 56 = 0.44 cm3