The inner diameter of a cylindrical wooden pipe is 24 cm and its outer diameter is 28 cm.

Question:

The inner diameter of a cylindrical wooden pipe is 24 cm and its outer diameter is 28 cm. The length of the pipe is 35 cm. Find the mass of the pipe, if 1 cmof wood has a mass of 0.6 g.

Solution:

Inner radius of the wooden pipe, $r=\frac{24}{2}=12 \mathrm{~cm}$

Outer radius of the wooden pipe, $R=\frac{28}{2}=14 \mathrm{~cm}$

Length of the wooden pipe, h = 35 cm

$\therefore$ Volume of wood in the pipe $=\pi\left(R^{2}-r^{2}\right) h=\frac{22}{7} \times\left(14^{2}-12^{2}\right) \times 35=5720 \mathrm{~cm}^{3}$

It is given that 1 cmof wood has a mass of 0.6 g.

$\therefore$ Mass of the pipe $=$ Volume of wood in the pipe $\times 0.6=5720 \times 0.6=3432 \mathrm{~g}=\frac{3432}{1000}=3.432 \mathrm{~kg}$

Thus, the mass of the pipe is 3.432 kg.

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