To find the volume of a cone-shaped container, 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 of the cone
- \( h \) is the height of the cone
- \( \pi \) is approximately 3.14
In this case, the radius \( r \) is 4 feet and the height \( h \) is 12 feet.
Now, plug in the values:
\[ V = \frac{1}{3} \times 3.14 \times (4)^2 \times 12 \]
Calculate \( (4)^2 \):
\[ (4)^2 = 16 \]
Next, substitute that back into the volume formula:
\[ V = \frac{1}{3} \times 3.14 \times 16 \times 12 \]
Now, multiply \( 16 \) and \( 12 \):
\[ 16 \times 12 = 192 \]
Now, continue with the volume calculation:
\[ V = \frac{1}{3} \times 3.14 \times 192 \]
Next, compute \( 3.14 \times 192 \):
\[ 3.14 \times 192 = 602.88 \]
Now, divide that by 3:
\[ V = \frac{602.88}{3} = 200.96 \]
Thus, the volume of the cone-shaped container is approximately:
\[ \boxed{200.96} \text{ cubic feet} \]
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