You can identify that the identify that the diameter of the sphere is:
[tex]d=8\operatorname{cm}[/tex]
Since the radius is half the diameter:
[tex]\begin{gathered} r=\frac{8\operatorname{cm}}{2} \\ \\ r=4\operatorname{cm} \end{gathered}[/tex]
Knowing this, you can use the following formula for calculate the surface area of the sphere:
[tex]SA=4\pi r^2[/tex]
Where "r" is the radius.
Substituting the radius into the formula, you get the following result:
[tex]\begin{gathered} SA=4\pi(4\operatorname{cm})^2 \\ SA=64\pi cm^2 \end{gathered}[/tex]
The answer is:
[tex]64\pi cm^2[/tex]
