To calculate 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 given is 9.2 inches, so the radius \( r \) is half of that:
\[ r = \frac{diameter}{2} = \frac{9.2}{2} = 4.6 \text{ inches} \]
- Now, substitute \( r \) 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 substitute this back into the formula:
\[ \text{Surface Area} = 4 \times 3.14 \times 21.16 \]
- Calculate \( 4 \times 3.14 = 12.56 \):
\[ \text{Surface Area} = 12.56 \times 21.16 \]
- Now multiply:
\[ \text{Surface Area} \approx 266.00 \text{ in}^2 \]
Rounding to the nearest hundredth, the surface area is approximately:
\[ \text{Surface Area} \approx 265.77 \text{ in}^2 \]
So the correct response is:
265.77 in.²