To find the volume of the circular cone using the equation \( V = \frac{1}{3} \pi r^2 h \), we can substitute the given values for the height and radius.
Given:
- Height \( h = 3 \) feet
- Radius \( r = 2 \) feet
Substituting these values into the volume formula:
\[ V = \frac{1}{3} \pi (2^2)(3) \]
Calculating \(2^2\):
\[ 2^2 = 4 \]
Now substituting back:
\[ V = \frac{1}{3} \pi (4)(3) \]
Calculating \(4 \times 3\):
\[ 4 \times 3 = 12 \]
Now substituting this into the volume formula:
\[ V = \frac{1}{3} \pi (12) \]
Calculating \(\frac{1}{3} \times 12\):
\[ \frac{12}{3} = 4 \]
Therefore, we have:
\[ V = 4\pi \]
Now, to find the numerical value of \(4\pi\):
\[ \pi \approx 3.14159 \]
Thus,
\[ V \approx 4 \times 3.14159 \approx 12.56636 \]
Rounding this to two decimal places:
\[ V \approx 12.57 \]
So, the volume of the circular cone is approximately \( \boxed{12.57} \) cubic feet.
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