The diameter of a copper sphere …
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Gaurav Seth 3 years, 11 months ago
Diameter of Copper Sphere = 18 cm
Radius = 9 cm [Radius = Diameter / 2]
Length of cylindrical wire = 108 m or 10800 cm [ 1 m = 100 cm]
Let radius of cylindrical wire be R
Since wire is made by melting the sphere
∴ Volume of Cylindrical wire = Volume of Copper Sphere
[Volume of Cylinder = π × Radius² × height and
Volume of Sphere = (4/3)×π×Radius³]
∴ π × R² × 10800 = (4/3) × π × (9)³
Dividing both sides by π
R² × 10800 = (4/3) × (9)³
Taking Square Root of both sides
R = 0.30 cm
Radius of wire = 0.3 cm or 3 mm
[∵ Diameter = 2×Radius]
∴Diameter of wire = 0.6 cm or 6 mm
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