To find the volume of a cone, you can use the formula:
\[ V = \frac{1}{3} \pi r^2 h \]
where:
- \( V \) is the volume,
- \( r \) is the radius of the base,
- \( h \) is the height of the cone.
Given that the diameter of the cone is 18 feet, the radius \( r \) is half of the diameter:
\[ r = \frac{\text{diameter}}{2} = \frac{18}{2} = 9 \text{ feet} \]
The height \( h \) is given as 24 feet. Now, substitute \( r \) and \( h \) into the volume formula:
\[ V = \frac{1}{3} \times 3.14 \times (9)^2 \times 24 \]
Calculate \( (9)^2 \):
\[ (9)^2 = 81 \]
Now plug in the values:
\[ V = \frac{1}{3} \times 3.14 \times 81 \times 24 \]
Multiply \( 81 \) and \( 24 \):
\[ 81 \times 24 = 1944 \]
Now substitute back into the equation:
\[ V = \frac{1}{3} \times 3.14 \times 1944 \]
Now calculate \( 3.14 \times 1944 \):
\[ 3.14 \times 1944 \approx 6109.76 \]
Now take one-third of that value:
\[ V = \frac{6109.76}{3} \approx 2036.59 \]
Therefore, the volume of the cone is approximately:
\[ \boxed{2036.59} \text{ cubic feet} \]