Answer:
[tex]A=452.39\ cm^2[/tex]
Step-by-step explanation:
The formula to calculate the surface area of a sphere is the following:
[tex]A=4\pi r^2[/tex]
Where A is the area of the sphere and r is the radius of the sphere.
In this case we know that the diameter d of the sphere is:
[tex]d = 12\ cm[/tex]
The diameter is:
[tex]d = 2r[/tex].
Thus
[tex]r = \frac{d}{2}\\\\r = \frac{12}{2}\\\\r=6\ cm[/tex]
Then the surface area of the sphere is:
[tex]A=4\pi (6)^2\\\\A = 144\pi\ cm^2\\\\A=452.39\ cm^2[/tex]
