Question

$\large\mathbf{HEY\: QUESTION❤}$

A solid metallic sphere of diameter 8 cm is melted and drawn into a cylindrical wire of uniform width. If the length of the wire is 12 m, find its width?


★ REQUIRED FULL EXPLANATION ANSWER


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Answer 1

Given,

Diameter

$Diameter of metallic sphere = 8 cm</p><p>∴ Radius (R) =  \frac{8}{2} </p><p>Diameter of metallic sphere = 8 cm</p><p>∴ Radius (R) = 8/2</p><p></p><p>= 4 cm</p><p>The length of wire recasted (h) = 12 m = 1200 cm</p><p>Let the radius of wire recasted be r since, by melting the metallic sphere, the wire is recasted.</p><p>∴ Volume of cylindrical wire = Volume of sphere</p><p></p><p>Hence the thickness of the wire =  \frac{8}{15} </p><p></p><p></p><p>$

Answer 2

Hence the thickness of the wire = 8/15