Question

A copper wire of 4 mm diameter is evenly wound around a cylinder whose length is 24
cm and diameter 20 cm so as to cover the whole surface. Find the length and weight of
the wire assuming the density to be 8.68 gm/cm3.

Answer 1

Answer:

4.12Kg

Step-by-step explanation:

Length of the cylinder = 24 cm Diameter of copper wire = 4 mm = 0.4 cm

Therefore, the number of rounds of wire to cover the length of cylinder

Now, diameter of cylinder = 20 cm

Therefore, length of wire in one round = circumference of base of the cylinder = d cm

Length of wire for covering the whole surface of cylinder = length of wire in 60 rounds

Radius of copper wire = cm = 0.2 cm

Therefore, volume of wire = r2h

= 474.122 cu. cm

Weight of wire = volume × density = 474.122 × 8.68 gm = 4115.38 gm = 4.11538 kg 4.12 kg