Question

A solid metallic cylindrical rod of diameter 1cm and length 8cm is drawn into a cylindrical wire of length 18m of uniform thickness.Find the thickness of the wire
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Answer 1

Answer:

3cm

Step-by-step explanation:

since the first rod is drawn into a wire both the volume will be same

In the rod

r= 0.5cm

h=8cm

In the wire

r= ?

h=18cm

so now

$\pi r1^{2} h1 = \pi r2^{2} h2$

$\pi$ gets cancelled on both sides so now

0.25*8 = $r2^{2}$* 18

$r2^{2}$ = 2/18

     =1/9

r2   = $\sqrt[2]{1/9}$

r2= 1/3 cm

thickness = 2*1/3

                =2/3

                = 2/3 cm

∴thickness of the wire is 2/3cm or 0.667