To find the surface area of a football with a radius of 8 cm, we can use the formula for the surface area of a sphere:
[tex]\[ \text{Surface area} = 4 \pi r^2 \][/tex]
where [tex]\( r \)[/tex] is the radius of the sphere and [tex]\( \pi \)[/tex] is approximately 3.14.
Given:
- Radius, [tex]\( r = 8 \)[/tex] cm
- [tex]\( \pi = 3.14 \)[/tex]
Now, we substitute the values into the formula:
[tex]\[ \text{Surface area} = 4 \times 3.14 \times (8)^2 \][/tex]
First, calculate [tex]\( (8)^2 \)[/tex]:
[tex]\[ (8)^2 = 64 \][/tex]
Next, substitute [tex]\( 64 \)[/tex] into the equation:
[tex]\[ \text{Surface area} = 4 \times 3.14 \times 64 \][/tex]
Calculate [tex]\( 4 \times 3.14 \)[/tex]:
[tex]\[ 4 \times 3.14 = 12.56 \][/tex]
Finally, multiply [tex]\( 12.56 \)[/tex] by [tex]\( 64 \)[/tex]:
[tex]\[ 12.56 \times 64 = 803.84 \][/tex]
Therefore, the surface area of the football is:
[tex]\[ \boxed{803.84} \, \text{cm}^2 \][/tex]
