To calculate the volume of a sphere, we use the formula:
\[ V = \frac{4}{3} \pi r^3 \]
where \( r \) is the radius of the sphere. In this case, the radius \( r \) is 5 feet, and we will use \( \pi \approx 3.14 \).
First, we compute \( r^3 \):
\[ r^3 = 5^3 = 125 \]
Next, we substitute the values into the volume formula:
\[ V = \frac{4}{3} \times 3.14 \times 125 \]
Now we calculate \( \frac{4}{3} \times 3.14 \):
\[ \frac{4}{3} \times 3.14 \approx 4.1867 \]
Next, we multiply this by 125:
\[ V \approx 4.1867 \times 125 \approx 523.3375 \]
Rounding to the nearest tenth gives:
\[ V \approx 523.3 \]
Thus, the volume of the sphere is 523.3 ft³.