Question

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.

• A. 0.1 m
• B. 0.011 m
• C. 0.05 m
• D. 0.045 m

Answer 1

Answer: (B)

0.011 m

Let the length of the wire be $x$ m
$\therefore$ The wire is of the shape of the right circular cylinder.
$\therefore$ Volume of the cylinder $=\pi r^{2}h$
$5=\pi \times 12\times 12\times x$
$5=\frac{22}{7}\times 12\times 12\times x$
$\frac{5\times 7}{22\times 12\times 12}=x$
The length of the wire is $0.011$ m