To find the volume \( V \) of a cone, you can use the formula:
\[ V = \frac{1}{3} \pi r^2 h \]
where:
- \( r \) is the radius of the base of the cone,
- \( h \) is the height of the cone,
- \( \pi \) is approximately equal to 3.14.
Given:
- \( r = 22 \) feet
- \( h = 12 \) feet
Now, substituting the values into the formula:
\[ V = \frac{1}{3} \times 3.14 \times (22)^2 \times 12 \]
First, calculate \( (22)^2 \):
\[ (22)^2 = 484 \]
Now, plug this value back into the volume formula:
\[ V = \frac{1}{3} \times 3.14 \times 484 \times 12 \]
Next, calculate \( 484 \times 12 \):
\[ 484 \times 12 = 5808 \]
Now, substitute this into the formula:
\[ V = \frac{1}{3} \times 3.14 \times 5808 \]
Now, calculate \( 3.14 \times 5808 \):
\[ 3.14 \times 5808 \approx 18230.72 \]
Finally, divide by 3:
\[ V = \frac{18230.72}{3} \approx 6076.91 \]
Thus, the volume of the cone is approximately:
\[ \boxed{6076.91} \text{ cubic feet} \]