2.2 cubic dm of brass is to be drawn into a cylindrical wire 0.25 cm in diameter.

Question:

2.2 cubic dm of brass is to be drawn into a cylindrical wire 0.25 cm in diameter. Find the length of the wire.

Solution:

Let r cm be the radius of the wire and h cm be the length of the wire.

Volume of brass = Volume of the wire

We know that the volume of brass = 2.2 dm3= 2200 cm3 

Volume of the wire=  πr2h = (0.125 cm)2 (h)

$h=\frac{2200 \mathrm{~cm}^{3}}{\pi(0.125 \mathrm{~cm})^{2}}=44800 \mathrm{~cm}=448 \mathrm{~m}$

Thus, length of the wire is 448 m.

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