Question

a solid metallic cylindrical rod of diameter 1 cm and lenght 8 cm is drawn into a cylindrical wire of lenght 18 m of uniform thickness find the thickness of the wire

Answer 1

Cylindrical rod:

Diameter (D) = 1 cm

⇒ Radius (R) =

Height of rod (H) = length of rod = 8 cm

∴ Volume of rod = πR2H

Cylindrical rod is drawn into a cylindrical wire of length (h) 18 m (= 1800 cm)

∴ Volume of cylindrical rod = volume of cylindrical wire

Let r be the radius of cross-section of the wire.

So, the diameter of the cross-section (approx) 

Hence, thickness of the wire = 0.67 mm 

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Answer 2

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Please see the attachment

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