Answer
$50\text{ m}$
Work Step by Step
To determine the length of the wire, we can use the following formula:
mass = density x volume
We know the mass of the wire is 22 g and the density of copper is 8.96 g/cm3.
So, we can calculate the volume of the wire:
volume = mass / density
volume = 22 / 8.96 = 2.47 cm^3
The volume of a cylinder can be calculated as:
V=πr^2*h
As we know the diameter is 0.25 mm, so the radius is 0.25/2 mm = 0.0125 cm and we have the volume we can calculate the length
length = volume / (π * radius^2)
length = 2.47 / (π * (0.0125^2) = 5031,84 cm or 50 m.
So the wire is 50 meters long.
