Multiple choice

A metallic solid of volume 5 $m^3$ is melted and drawn into the form of a wire of radius 12 m. Find the length of the wire.

  1. 0.1 m

  2. 0.011 m

  3. 0.05 m

  4. 0.045 m
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Volume = pi * r^2 * h. 5 = pi * 12^2 * h. h = 5 / (144 * pi) = 5 / 452.39 = 0.011 m.

AI explanation

The volume of the metallic solid is 5 cubic meters, and this becomes the volume of the wire, which is shaped like a long cylinder. The wire has a radius of 12 m, so its cross-sectional area is pi times 12 squared, which is 144 pi square meters. Using the cylinder volume formula V equals pi times radius squared times height, we set 5 equal to 144 pi times the length. Dividing 5 by 144 pi gives a length of approximately 0.011 m. The length of the wire is 0.011 m.

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