To find the surface area of a ball (sphere) with a given diameter, follow these steps:
1. Understand what is given and what needs to be found:
- The given diameter of the ball is 8 inches.
- We need to find the surface area of the ball.
- Use 3.14 for π (pi).
2. Calculate the radius of the sphere:
- The radius [tex]\( r \)[/tex] is half of the diameter.
- Therefore, [tex]\( r = \frac{diameter}{2} \)[/tex].
Plugging in the given diameter:
[tex]\[
r = \frac{8}{2} = 4 \text{ inches}
\][/tex]
3. Use the formula for the surface area of a sphere:
- The formula for the surface area [tex]\( A \)[/tex] is [tex]\( A = 4 \pi r^2 \)[/tex].
4. Substitute the value of the radius and π into the formula:
- [tex]\(\pi = 3.14\)[/tex]
- [tex]\( r = 4 \)[/tex]
So,
[tex]\[
A = 4 \times 3.14 \times (4)^2
\][/tex]
5. Calculate [tex]\( r^2 \)[/tex]:
[tex]\[
4^2 = 16
\][/tex]
6. Multiply this by 4 and then by π:
[tex]\[
A = 4 \times 3.14 \times 16
\][/tex]
7. Perform the multiplication:
[tex]\[
4 \times 16 = 64
\][/tex]
[tex]\[
64 \times 3.14 = 200.96 \text{ square inches}
\][/tex]
Therefore, the surface area of the ball is:
[tex]\[
\boxed{200.96 \text{ square inches}}
\][/tex]
So, the correct answer is [tex]\( \boxed{200.96 \text{ in.}^2} \)[/tex].
