Question

A copper wire, 3 mm in diameter, is wound about a cylinder whose length is 12 cm, and diameter 10 cm, so as to cover the curved surface of the cylinder. Find the length and mass of the wire, assuming the density of copper to be 8.88 g per cm³.

Answer 1

Solution: For copper wire: Diameter = 3 mm = 0.3 cm

For cylinder; length h = 12 cm, d = 10 cm

Density of copper = 8.88 gm cm3

Curved surface area of cylinder can be calculated as follows:

Length of wire can be calculated as follows:

Now, volume of wire can be calculated as follows:

Mass can be calculated as follows:

Mass = Density × Volume

= 8.88 × 88.7364

= 788 g (approx)