Answer:
[tex]SA=144\pi\ ft^2[/tex]
Step-by-step explanation:
We know that the diameter of the sphere is 12 feet.
By definition the radius of the sphere is:
[tex]r =\frac{d}{2}[/tex]
Where d is the diameter of the sphere
Then
[tex]r =\frac{12}{2}[/tex]
[tex]r =6\ ft[/tex]
Now we calculate the surface area of the sphere using the formula
[tex]SA=4\pi r^2[/tex]
[tex]SA=4\pi (6)^2[/tex]
[tex]SA=4\pi(36)[/tex]
[tex]SA=144\pi\ ft^2[/tex]