Question

16. A solid cube of metal each of whose sides measures 2.2 cm is melted to form a cylindrical
wire of radius 1 mm. Find the length of the wire so obtained.
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Answer 1

$\sf{side \: of \: cube = 2.2 \: cm}$

$\sf{radius \: of \: wire = 1mm(0.1cm)}$

$\sf \red{volume \: of \: cube = volume \: of \: cylinder}$

${2.2 \times 2.2 \times 2.2 = \pi \times 0.1 \times 0.1 \times \: l }$

$\: \: \: \: \: \: \: \: \: \: 10.648 = \pi \times 0.01 \times l$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: l = \frac{10.648 \times 7}{0.01 \times 22}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: l = \frac{74.536}{0.22}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: l = 3,726.8 \: cm$