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:

Diameter of the cylindrical wire = 0.25 cm

Radius of the cylindrical wire = 0.125 cm

Volume of the brass = 2.2 dm3 = 2200 cm3

Volume of the brass = Volume of the cylindrical wire

Length of wire $=\frac{2200 \mathrm{~cm}^{3}}{\frac{22}{7} \times(0.125 \mathrm{~cm})^{2}}=44800 \mathrm{~cm}=448 \mathrm{~m}$

Thus, length of the wire is 448 m.

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