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 of the base and \( h \) is the height of the cone.
Given:
- Radius \( r = 4 \) feet
- Height \( h = 12 \) feet
Using the formula:
\[ V = \frac{1}{3} \pi (4)^2 (12) \]
Calculating \( (4)^2 \):
\[ (4)^2 = 16 \]
Now substituting back into the volume formula:
\[ V = \frac{1}{3} \pi (16) (12) \]
Calculating \( 16 \times 12 \):
\[ 16 \times 12 = 192 \]
Thus, the volume becomes:
\[ V = \frac{1}{3} \pi (192) \]
Now dividing \( 192 \) by \( 3 \):
\[ \frac{192}{3} = 64 \]
So, the volume is:
\[ V = 64 \pi \]
Approximating \( \pi \) as \( 3.14 \):
\[ V \approx 64 \times 3.14 = 200.96 \]
Therefore, the volume of feed the container can store is approximately \( 200.96 \) cubic feet, or exactly \( 64 \pi \) cubic feet.