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, and
- \( \pi \) is approximately 3.14.
Given:
- \( r = 11 \) feet,
- \( h = 24 \) feet,
- \( \pi = 3.14 \).
Now, substitute the values into the formula:
\[ V = \frac{1}{3} \times 3.14 \times (11)^2 \times 24 \]
First, calculate \( (11)^2 \):
\[ (11)^2 = 121 \]
Now substitute that back into the volume formula:
\[ V = \frac{1}{3} \times 3.14 \times 121 \times 24 \]
Now calculate \( 121 \times 24 \):
\[ 121 \times 24 = 2904 \]
Now substitute this value back into the formula:
\[ V = \frac{1}{3} \times 3.14 \times 2904 \]
Next, calculate \( 3.14 \times 2904 \):
\[ 3.14 \times 2904 = 9125.76 \]
Now, divide this by 3:
\[ V = \frac{9125.76}{3} \approx 3041.92 \]
Therefore, the volume of the cone is approximately:
\[ \boxed{3041.92} \text{ cubic feet} \]