To find the surface area of the sphere with a given radius using the formula [tex]\( \text{Surface Area} = 4 \pi r^2 \)[/tex]:
1. Identify the radius (r):
The radius [tex]\( r \)[/tex] of the sphere is given as 7 meters.
2. Identify the value of [tex]\(\pi\)[/tex]:
For this approximation, [tex]\(\pi\)[/tex] is taken as 3.
3. Substitute the values into the formula:
The formula to calculate the surface area is:
[tex]\[
\text{Surface Area} = 4 \pi r^2
\][/tex]
Substituting the given values:
[tex]\[
\text{Surface Area} = 4 \times 3 \times (7)^2
\][/tex]
4. Calculate the value inside the parentheses:
[tex]\[
(7)^2 = 49
\][/tex]
5. Multiply the squared radius by [tex]\(\pi\)[/tex]:
[tex]\[
3 \times 49 = 147
\][/tex]
6. Multiply the previous result by 4:
[tex]\[
4 \times 147 = 588
\][/tex]
Therefore, the surface area of the sphere is [tex]\( 588 \, \text{m}^2 \)[/tex].
So, the correct answer is:
A. [tex]\( 588 \, \text{m}^2 \)[/tex]
