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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Step-by-step explanation:
Volume of the cylindrical rod = volume of the cylindrical wire.......(1)
=> Volume of cylindrical rod = πr^2h
=>π× 0.5×0.5×8.....(2)
Volume of cylindrical wire
= πR^2H
=πR^2×18.....(3)
From eqn. 1,2 and 3
π× 0.5× 0.5 ×8= π× R×R×18
(π getting cancelled on both sides)
R=√0.5×0.5×8/18
R=√2/18cm
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