To find the surface area of the football, which is modeled as a sphere, we use the given formula for the surface area of a sphere:
[tex]\[ \text{Surface area} = 4 \pi r^2 \][/tex]
Here, the radius [tex]\( r \)[/tex] of the football is given as 8 cm, and [tex]\( \pi \)[/tex] is given as 3.14.
1. First, square the radius:
[tex]\[ r^2 = 8^2 = 64 \, \text{cm}^2 \][/tex]
2. Then, multiply this result by [tex]\( \pi \)[/tex] (3.14):
[tex]\[ 3.14 \times 64 = 200.96 \, \text{cm}^2 \][/tex]
3. Finally, multiply this result by 4:
[tex]\[ 4 \times 200.96 = 803.84 \, \text{cm}^2 \][/tex]
So, the surface area of the football is [tex]\(\boxed{803.84 \, \text{cm}^2}\)[/tex].
