Question

66 cm cube units of silver is drawn into a wire of radius 0.5 mm. The length of the wire will be

(a) 72 m. (b) 6205 m

(c) 84m. (d) 56 m


please answer give true

Answer 1

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.

Hope This Helps :)