To find the surface area of a sphere, you can use the formula:
\[ \text{Surface Area} = 4\pi r^2 \]
First, you need to find the radius of the basketball. The radius is half of the diameter. Given that the diameter is 9.2 inches, the radius \( r \) is:
\[ r = \frac{9.2}{2} = 4.6 \text{ inches} \]
Next, plug the radius into the surface area formula. Using \( \pi \approx 3.14 \):
\[ \text{Surface Area} = 4 \times 3.14 \times (4.6)^2 \]
Now calculate \( (4.6)^2 \):
\[ (4.6)^2 = 21.16 \]
Now substitute that back into the surface area formula:
\[ \text{Surface Area} = 4 \times 3.14 \times 21.16 \]
Calculating \( 4 \times 3.14 \) first:
\[ 4 \times 3.14 = 12.56 \]
Now multiply by 21.16:
\[ \text{Surface Area} = 12.56 \times 21.16 \approx 266.31 \]
Rounding to the nearest hundredth gives:
\[ \text{Surface Area} \approx 266.31 \text{ in}^2 \]
The answer provided in the options is 265.77 in² (as the closest rounded answer).
So, the correct response is:
265.77 in.²
1 answer