Question

A copper road of 1 CM diameter and 8cm in height is recast into a wire of length 18m with uniform thickness find the diameter of wire

Answer 1

Answer

d= 6.66mm

Step-by-step explanation:

diameter  of copper rod = 1 cm

radius of copper road = .5 cm

height of copper rod, L = 8 cm

volume of copper rod = πx R^2 x L

length of wire, l = 18 cm

let radius of wire be r

volume of wire= π x r^2 x l

volume of copper rod= volume of wire

πx R^2 x L =  π x r^2 x l

.5^2 x 8 = r^2 x 18

r^2 = 2/18 = .111

r =$\sqrt{.111}$ = .333 cm

=3.33 mm

d= 2 x r = 2 x 3.33 = 6.66 mm

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