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 = $\frac{22}{7}$]

250

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