The formula for the surface area \( A \) of a sphere is:
\[ A = 4\pi r^2 \]
where \( r \) is the radius of the sphere.
Given that the radius \( r = 3.6 \) ft, we can substitute this value into the formula:
\[ A = 4 \times 3.14 \times (3.6)^2 \]
First, calculate \( (3.6)^2 \):
\[ (3.6)^2 = 12.96 \]
Now substitute this value back into the surface area formula:
\[ A = 4 \times 3.14 \times 12.96 \]
Now calculate \( 4 \times 3.14 = 12.56 \):
\[ A = 12.56 \times 12.96 \]
Next, compute \( 12.56 \times 12.96 \):
\[ A \approx 162.7376 \]
Finally, round the surface area to the nearest hundredth:
\[ A \approx 162.74 \text{ ft}^2 \]
Therefore, the surface area of the sphere is approximately 162.74 ft².