To find the volume of a cylindrical drain pipe, we use the formula for the volume \( V \) of a cylinder:
\[ V = \pi r^2 h \]
where \( r \) is the radius and \( h \) is the height of the cylinder.
- Find the radius: The diameter of the pipe is given as 3 inches, so the radius \( r \) is half of that:
\[ r = \frac{3}{2} = 1.5 \text{ inches} \]
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Determine the height: The height \( h \) of the cylinder is given as 9 inches.
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Substitute the values into the volume formula:
\[ V = \pi (1.5)^2 (9) \]
Calculating \( (1.5)^2 \):
\[ (1.5)^2 = 2.25 \]
Now substitute \( \pi \) with 3.14:
\[ V = 3.14 \times 2.25 \times 9 \]
Calculate \( 2.25 \times 9 \):
\[ 2.25 \times 9 = 20.25 \]
Now calculate the volume:
\[ V = 3.14 \times 20.25 \]
Calculating \( 3.14 \times 20.25 \):
\[ 3.14 \times 20.25 \approx 63.585 \]
Now we round to the nearest hundredth:
\[ V \approx 63.59 \text{ cubic inches} \]
Thus, the answer is C. 63.59 in³.