A copper wire of diameter 6 mm is evently wrapped on a cylinder of length 15 cm and diameter 49 cm to cover its whole surface. Find the length and volume of the wire. If the specific gravity of copper be 9g/cm3 , then find the weight of the wire.
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Diameter of copper wire = 6 mm i.e. its radius = 3 mm
Length of cylinder = 15 cm = 150 mm
Diameter of cylinder = 49 cm = 490 mm
Number of turns of copper wire = 1506=25
Length of one turn = 2π(4902)=490×227=1540 mm
So total length of copper wire = 25×1540 mm=38500mm
Therefore volume of copper wire = π×(3)2×38500 mm3=1089000 mm3
Volume ( in cubic centimetres ) = 1089 cm3
Specific gravity of wire = 9kg/cm3
So weight of wire = (1089×9)kg=9801kg
Length of cylinder = 15 cm = 150 mm
Diameter of cylinder = 49 cm = 490 mm
Number of turns of copper wire = 1506=25
Length of one turn = 2π(4902)=490×227=1540 mm
So total length of copper wire = 25×1540 mm=38500mm
Therefore volume of copper wire = π×(3)2×38500 mm3=1089000 mm3
Volume ( in cubic centimetres ) = 1089 cm3
Specific gravity of wire = 9kg/cm3
So weight of wire = (1089×9)kg=9801kg
Manojbgs123:
How did you get 1506
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