A copper wire of 4mm diameter is evenly wound aroud a cylinder whose length is 24cm and diameter 20 cm so as to cover the whole suface.find the length and weight of the wire assuming the density to be 8.68gm/cm^3
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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
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