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2.2 cubic dm of brass is …

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

Sia ? 6 years, 4 months ago

According to the question,we are given that,

Volume of brass = 2.2 dm3 = 2200 cm3
Diameter of cylindrical wire = 0.25 cm
Therefore, radius of wire = {tex}\frac { 0.25 } { 2 }{/tex} cm
By the given condition ,we have,
Volume of cylindrical wire = Volume of Brass
{tex}\Rightarrow \quad \pi r ^ { 2 } h = 2200{/tex}
{tex}\Rightarrow \quad \frac { 22 } { 7 } \times \left( \frac { 0.25 } { 2 } \right) ^ { 2 } \times h = 2200{/tex}
{tex}\Rightarrow \quad h = \frac { 2200 \times 7 \times 2 \times 2 } { 22 \times 0.25 \times 0.25 }{/tex}
{tex}\Rightarrow{/tex} h = 44800 cm = 448 metres

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