66 cubic centimetres of silver is drawn into a wire 1 mm in diameter. The length of the wire in metres will be

Solution (By Examveda Team)

As we know that volume of wire is volume of cylinder.

And in given question silver wire is drawn from 66 cubic centimetres of silver.

So we can equivalent the volume of cylinder with 66 cubic centimetres.

we know that volume of cylinder is pi*r^2*l.  [where l = length and r = radius]

Given, r = 1/2mm.

i.e. r = 0.5mm.

i.e. r =0.05cm.

According to question pi*r^2*l = 66

i.e. 22/7 * (0.05)^2* l = 66

by solving this question we get l = 8400cm.

So, length of wire in metres is 84m.