The radius of a metallic solid sphere is 9 cm. It is melted and recast
into a cylindrical wire of diameter of cross section 0.2 cm. Determine
the length of this wire.
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Answer:
For sphere:
d = 9 cm r = cm
Volume of sphere = r3 = cu. cm
For wire/ cylinder:
Diameter of cylinder = 0.2 cm R = 0.1 cm
Volume of cylinder = r2h = (0.1)2 h
The sphere is melted to form a cylindrical wire.
Volume of sphere = volume of cylinder
= (0.1)2h
h = = 12150 cm = 121.5 m
Thus, the length of the wire is 121.5 m.
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