Question

2.2 cubic dm of brass is to be drawn into a cylindrical wire 0.25 cm in diameter. Find the length of the wire.

Answer 1

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.