To find the surface area of a sphere, you can use the formula:
\[ \text{Surface Area} = 4\pi r^2 \]
where \( r \) is the radius of the sphere.
- First, find the radius of the basketball. The diameter is given as 9.2 inches, so the radius is half of the diameter:
\[ r = \frac{9.2}{2} = 4.6 \text{ inches} \]
- Next, plug the radius into the surface area formula, using \( \pi \approx 3.14 \):
\[ \text{Surface Area} = 4 \times 3.14 \times (4.6)^2 \]
- Calculate \( (4.6)^2 \):
\[ (4.6)^2 = 21.16 \]
- Now calculate the surface area:
\[ \text{Surface Area} = 4 \times 3.14 \times 21.16 \]
- Multiply:
\[ \text{Surface Area} = 12.56 \times 21.16 \]
- Perform the multiplication:
\[ \text{Surface Area} = 266.24 \text{ in}^2 \]
Rounding to the nearest hundredth, the surface area is approximately 266.24 in².
Thus, the correct answer from the options given is 265.77 in² (closest to our calculated value).