A solid cube of metal each of whose sides measures 4.4 cm is melted to form a cylindrical wire of radius 1mm . find the length of the wire so obtained.
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Volume of the solid cube=Side×Side
=(4.4×4.4×4.4)cm^3
=85.184cm^3
Volume of the solid cube=Area of cylindrical wire=85.184cm^3
Volume of a cylinder=πr^2h
=> 85.184cm^3=22/7×1^2×h
=> 85.184cm^3=22/7×1×h
=> 85.184cm^3=22/7×h
∴ h=85.184÷22/7
=85.184×7/22
=3.872×7
=27.104cm
Length of the wire=27.104cm
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