Question

Find the length of 13.2 kg of copper wire of diameter 4 mm, when 1 cubic cm of copper weighs 8.4 gm.

Answer 1

Given data is as follows:

Weight of copper wire = 13.2 kg

Diameter = 4 mm

Density = 8.4 gm/

We have to find the length of the copper wire.

Given is the diameter of the wire which is 4 mm. Therefore,

= 2 mm

Let us convert from millimeter to centimeter, since density is in terms of gm/. Therefore,

= cm

Also, weight of the copper wire is given in kilograms. Let us convert into grams since density is in terms of gm/. Therefore, we have,

Weight of copper wire = 13.2 1000 gm

= 13200 gm

We know that,

Volume Density = Weight

Therefore,

Hence, the length of the copper wire is 125 meters.