Question 3
A copper rod of diameter 1 cm and length 8 cm is drawn into a wire of length 18 m of uniform thickness. Find the thickness of the wire.
Volume of copper rod = Volume of wire
Volume of copper rod
Copper rod is in form of cylinder with
Diameter of rod = 1 cm
So, radius = r = 1/2 cm
And, length = height = h = 8 cm
Volume of copper rod = 2
= (1/2)^2 8
= 1/4 8
= 2 cm3
Volume of wire
Wire is form of cylinder with
radius = r
length = height = h = 18 m = 18 100 = 1800 cm
Volume of wire = 2
= 2 1800
= 1800 2 cm2
Now,
Volume of copper rod = Volume of wire
1800 2=2
1800 2=2
r2 = 2/1800
r2 = 2/1800
r2 = 1/900
r = (1/900)
r = (1/(30 30))
r = (1/ 30 ^2 )
r = 1/30
So, r = 1/30 cm
Thickness of wire = Diameter of wire
= 2r
= 2 1/30
= 1/15 cm

Made by

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo

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