Acopper wire ( density = 8.96 g/cm^3 ) has a diameter of 0.25 mm. if a sample of this copper wire has a mass of 22 g, how long is the wire?

The length of the copper wire is 50.02 meters.

Explanation:

It is given that,

Density of the copper wire,

Diameter of copper wire, d = 0.25 mm = 0.00025 m

Radius of the copper wire, r = 0.000125 m

Mass of the copper, m = 22 g = 0.022 kg

We need to find the length of the wire. Let l is the length of the wire. The density of a copper wire is given by :

V is the volume of copper wire

h = 50.02 m

So, the length of the wire is 50.02 meters. Hence, this is the required solution.