We have,
Diameter of cylindrical wire = 0.25 cm
Radius of wire = d/2 = 0.25/2 = 0.125cm
Let length of wire be ‘h’ cm
Volume of brass wire = 2.2 dm3 = 2200 cm3
πr2h = 2200
22/7 × 0.125 × 0.125 × h = 2200
h = 2200×7 / 22×0.125×0.125
= 15400 / 0.34375
= 44800 cm
= 448m
∴ Length of the wire is 448m.