The formula for the surface area (SA) of a sphere is given by:
\[ SA = 4\pi r^2 \]
where \( r \) is the radius of the sphere.
To find the radius of the basketball, we first need to calculate it from the diameter:
\[ \text{Diameter} = 9.2 \text{ inches} \] \[ r = \frac{\text{Diameter}}{2} = \frac{9.2}{2} = 4.6 \text{ inches} \]
Now, we can substitute the radius into the surface area formula. Using \( \pi \approx 3.14 \):
\[ SA = 4 \times 3.14 \times (4.6)^2 \]
Calculating \( (4.6)^2 \):
\[ (4.6)^2 = 21.16 \]
Now, substituting back into the surface area formula:
\[ SA = 4 \times 3.14 \times 21.16 \]
Calculating \( 4 \times 3.14 \):
\[ 4 \times 3.14 = 12.56 \]
Now, multiplying by \( 21.16 \):
\[ SA = 12.56 \times 21.16 \approx 266.7056 \]
Rounding to the nearest hundredth, the surface area of the basketball is:
\[ \text{Surface Area} \approx 266.71 \text{ square inches} \]
So, the final answer is:
\[ \boxed{266.71} \text{ square inches} \]
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