A cube of copper of edge 11 cm is melted and formed into a cylindrical wire of diameter 0.5 cm. Then
the length of wire will be obtained from the cube is
a) 67.76 m
b) 76.67 m
c) 60 m
d) 70 m
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Answer:
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Explanation:
Given side of a cube = 11cm
Cube is melted to form a cylinder of diameter 0.5cm
Radius = 0.5/2 cm
Since the cube is melted to a cylinder
Volume of cylinder = Volume of cube
⇒πr²h = a³
⇒(22/7) × (0.5/2)² × h = 11³
⇒(22/7) × 0.25/4 × h = 1331
⇒(5.5/28) ×h = 1331
⇒ h= 1331 × 28/5.5
⇒ h = 37268/5.5
∴ h = 6776 cm
∴The length of the wire = 6776cm = 67.76 m
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