To find the surface area of a sphere, we use the formula:
\[ \text{Surface Area} = 4\pi r^2 \]
where \( r \) is the radius of the sphere.
Given that the diameter of the basketball is 9.2 inches, we can find the radius:
\[ r = \frac{\text{diameter}}{2} = \frac{9.2}{2} = 4.6 \text{ inches} \]
Now, we can substitute the radius into the surface area formula using \( \pi \approx 3.14 \):
\[ \text{Surface Area} = 4 \times 3.14 \times (4.6)^2 \]
Calculating \( (4.6)^2 \):
\[ (4.6)^2 = 21.16 \]
Now substitute this into the surface area formula:
\[ \text{Surface Area} = 4 \times 3.14 \times 21.16 \]
Calculating this step-by-step:
- Multiply \( 3.14 \times 21.16 \):
\[ 3.14 \times 21.16 = 66.4754 \]
- Multiply by \( 4 \):
\[ 4 \times 66.4754 = 265.9016 \]
Now, rounding to the nearest hundredth, we get:
\[ \text{Surface Area} \approx 265.90 \text{ inches squared} \]
Among the given options, the closest response is:
265.77 inches squared.