A hollow cylindrical copper pipe is $210 c m$ long. Its outer and inner diameter is $10 c m$ and $6 c m$ respectively. Find the volume of the copper used in making the pipe.

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Solution

Length or height of pipe $= 210$ cm
Outer diameter $= 10$ cm $\Rightarrow$ outer radius $= 5$ cm
Inner diameter $= 6$ cm $\Rightarrow$ inner radius $= 3$ cm
Volume of copper used $=$ Volume of cylinder
$= π (r_{2}^{2} - r_{1}^{2}) \times h = π (5^{2} - 3^{2}) \times 210 {c m}^{3} = \frac{22}{7} \times 210 \times (5 + 3) \times (5 - 3) {c m}^{3} = 3360 {c m}^{3}$

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