To calculate the volume \( V \) of a sphere, you can use the formula:
\[ V = \frac{4}{3} \pi r^3 \]
where \( r \) is the radius of the sphere.
Given the radius \( r = 10.6 \) feet, you can plug the value into the formula:
\[ V = \frac{4}{3} \pi (10.6)^3 \]
First, calculate \( (10.6)^3 \):
\[ 10.6^3 = 10.6 \times 10.6 \times 10.6 \approx 1197.576 \]
Now, substituting this value back into the volume formula:
\[ V \approx \frac{4}{3} \pi (1197.576) \approx \frac{4}{3} \times 3.14159 \times 1197.576 \]
Calculating \( \frac{4}{3} \times \pi \):
\[ \frac{4}{3} \times \pi \approx \frac{4 \times 3.14159}{3} \approx 4.18879 \]
Now multiply this by the volume:
\[ V \approx 4.18879 \times 1197.576 \approx 5008.67 \]
Thus, the volume of the sphere with a radius of 10.6 feet is approximately \( 5008.67 \) cubic feet.