The formula for the surface area \( S \) of a sphere is given by:
\[ S = 4\pi r^2 \]
where \( r \) is the radius of the sphere.
Given that the radius \( r = 3.6 \) ft, we can substitute this value and \( \pi \approx 3.14 \) into the formula.
\[ S = 4 \times 3.14 \times (3.6)^2 \]
First, calculate \( (3.6)^2 \):
\[ (3.6)^2 = 12.96 \]
Now, substitute this value back into the surface area formula:
\[ S = 4 \times 3.14 \times 12.96 \]
Calculating \( 4 \times 3.14 \):
\[ 4 \times 3.14 = 12.56 \]
Now multiply this result by \( 12.96 \):
\[ S = 12.56 \times 12.96 \approx 162.7776 \]
Rounding to the nearest hundredth, the surface area is:
\[ S \approx 162.78 \text{ ft}^2 \]
Thus, the surface area of the sphere is approximately 162.78 ft².