To calculate the volume of a cone, we can use the formula:
\[ V = \frac{1}{3} \pi r^2 h \]
where \( V \) is the volume, \( r \) is the radius, and \( h \) is the height.
Given:
- Radius, \( r = 4 \) feet
- Height, \( h = 12 \) feet
- \( \pi \approx 3.14 \)
Plugging in these values into the formula:
\[ V = \frac{1}{3} \times 3.14 \times (4)^2 \times 12 \]
Calculating \( (4)^2 \):
\[ (4)^2 = 16 \]
Now substituting back:
\[ V = \frac{1}{3} \times 3.14 \times 16 \times 12 \]
Next, calculating \( 16 \times 12 \):
\[ 16 \times 12 = 192 \]
Now substituting this value:
\[ V = \frac{1}{3} \times 3.14 \times 192 \]
Calculating \( 3.14 \times 192 \):
\[ 3.14 \times 192 = 601.44 \]
Now, take one-third of that value:
\[ V = \frac{601.44}{3} = 200.48 \]
Therefore, the volume of feed that the container can store is approximately:
\[ \boxed{200.48} \text{ cubic feet} \]