Answer:
0.63 m³
Step-by-step explanation:
The metal pipe can be modelled as a cylinder.
The volume of metal used for the pipe can be calculated by subtracting the volume of a cylinder with a diameter of 0.55 m from the volume of a cylinder with a diameter of 0.6 m.
The formula for the volume of a cylinder is:
[tex]V=\pi r^2 h[/tex]
where r is the radius, and h is the height.
Since the radius of a circle half its diameter, in this case, the radius of the outer cylinder is 0.3 m and the radius of the inner cylinder is 0.275 m. Both cylinders have the same height of 14 m.
Therefore, the volume of the metal used to create the pipe can be calculated as follows:
[tex]V = \textsf{Volume of outer cylinder}-\textsf{Volume of inner cylinder}\\\\V =\pi \cdot 0.3^2 \cdot 14 - \pi \cdot 0.275^2 \cdot 14\\\\V =\pi \cdot 0.09 \cdot 14 - \pi \cdot 0.075625 \cdot 14\\\\V =1.26\pi - 1.05875\pi\\\\V =0.20125\pi\\\\V=0.63224552...\\\\V=0.63\; \sf m^3[/tex]
So, the volume of the metal used for the pipe is 0.63 m³.
