To find the volume of a cylindrical pipe, you can use the formula for the volume of a cylinder:
\[ V = \pi r^2 h \]
where:
- \( V \) is the volume,
- \( r \) is the radius of the cylinder,
- \( h \) is the height (or length) of the cylinder.
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Find the radius: The diameter of the pipe is 6 ft, so the radius \( r \) is half of the diameter: \[ r = \frac{d}{2} = \frac{6 , \text{ft}}{2} = 3 , \text{ft} \]
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Use the length of the pipe: The length \( h \) of the pipe is given as 200 ft.
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Plug the values into the volume formula: Using \( \pi \approx 3.14 \): \[ V = 3.14 \times (3 , \text{ft})^2 \times 200 , \text{ft} \] \[ V = 3.14 \times 9 , \text{ft}^2 \times 200 , \text{ft} \] \[ V = 3.14 \times 1800 , \text{ft}^3 \] \[ V = 5652 , \text{ft}^3 \]
Thus, the volume of the pipe is 5652 cubic feet.