A solid metallic cube of side 4.4 cm is melted and recast in the form of a wire of radius 2 mm. Find the length (in cm) of the wire (Use = π = 22/7)
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Correct answer: D
Explanation
The correct answer is option 4 i.e. 677.6
Given that
A side of cube = 4.4 cm
The radius of wire = 2 mm = 0.2 cm
Let, the length of wire = h cm
According to the question
Volume of a cube = Volume of a metallic wire
4.43 = π * r² * h = (22/7) * 0.22 * h
h = 22 * 4.4 * 7 = 677.6 cm