To find the surface area of a sphere, you can use the formula:
\[ S = 4\pi r^2 \]
where \( S \) is the surface area and \( r \) is the radius of the sphere.
First, we need to find the radius of the basketball. The diameter is given as 9.2 inches, so:
\[ r = \frac{\text{diameter}}{2} = \frac{9.2}{2} = 4.6 \text{ inches} \]
Now we can substitute the radius into the surface area formula using \( \pi \approx 3.14 \):
\[ S = 4 \times 3.14 \times (4.6)^2 \]
Calculating \( (4.6)^2 \):
\[ (4.6)^2 = 21.16 \]
Now substitute back into the surface area formula:
\[ S = 4 \times 3.14 \times 21.16 \]
Calculating \( 4 \times 3.14 = 12.56 \):
\[ S = 12.56 \times 21.16 \approx 266.02 \]
Rounding this to the nearest hundredth gives:
\[ S \approx 266.02 \]
Among the options provided, the closest value to our calculation is:
265.77 in.²
So the answer is: 265.77 inches squared.