The volume \( V \) of a cone can be calculated using the formula:
\[ V = \frac{1}{3} \pi r^2 h \]
where \( r \) is the radius and \( h \) is the height of the cone.
Given:
- Radius \( r = 12 \) cm
- Height \( h = 18 \) cm
Substituting the given values into the formula:
\[ V = \frac{1}{3} \pi (12)^2 (18) \]
Calculating \( (12)^2 \):
\[ (12)^2 = 144 \]
Now substituting back into the formula:
\[ V = \frac{1}{3} \pi (144)(18) \]
Calculating \( 144 \times 18 \):
\[ 144 \times 18 = 2592 \]
Now substituting this value back into the volume formula:
\[ V = \frac{1}{3} \pi (2592) \]
Calculating \( \frac{2592}{3} \):
\[ \frac{2592}{3} = 864 \]
So, we have:
\[ V = 864 \pi \]
For a numerical approximation, using \( \pi \approx 3.14 \):
\[ V \approx 864 \times 3.14 \approx 2711.76 \]
Thus, the volume of the cone is:
\[ \boxed{864\pi} \text{ cubic centimeters, or approximately } 2711.76 \text{ cubic centimeters.} \]
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