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 \( r = 4 \) ft
- Height \( h = 9 \) ft
Substituting the values into the formula:
\[ V = \frac{1}{3} \pi (4)^2 (9) \]
Calculating \( (4)^2 \):
\[ (4)^2 = 16 \]
Now substituting back into the volume formula:
\[ V = \frac{1}{3} \pi (16)(9) \]
Calculating \( 16 \times 9 \):
\[ 16 \times 9 = 144 \]
Now substituting this back into the volume formula:
\[ V = \frac{1}{3} \pi (144) \]
Calculating \( \frac{1}{3} \times 144 \):
\[ \frac{144}{3} = 48 \]
Thus, the volume \( V \) is:
\[ V = 48 \pi \text{ cubic feet} \]
If you need an approximation, you can use \( \pi \approx 3.14 \):
\[ V \approx 48 \times 3.14 \approx 150.72 \text{ cubic feet} \]
Therefore, the volume of the cone is \( 48 \pi \) cubic feet, or approximately \( 150.72 \) cubic feet.