66cm cube of silver is drawn into a wire 1mm in diameter. what is the length of the wire in m
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Answer:
l= 2100cm
Step-by-step explanation:
length of side of cube ,a = 66 cm
diameter of wire = 1 mm = 1/10 cm = .1 cm
let l be the length of the wire
volume of cube = a^3
volume of cylinder = π x r^2 x l
when cube of silver is drawn into a wire
volume of cube = volume of cylinder
a^3 = x r^2 x l
66^3 = (22/7) x .1^2 x l
l = 66^3 x 7 /(22 x .1^2)
= 2100cm
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