Answer: [tex]A = 201.06\ in^2[/tex] or [tex]A = 64\pi\ in^2[/tex]
Step-by-step explanation:
The surface area of a sphere is calculated by the following formula
[tex]A = 4\pi r^2[/tex]
Where r is the radius of the sphere
In this case we know that the diameter d of the sphere is
[tex]d=8\ inches[/tex]
So the radius r is:
[tex]r=\frac{d}{2}\\\\r=\frac{8}{2}\\\\r=4\ inches[/tex]
So the surface area of the sphere is:
[tex]A = 4\pi (4)^2[/tex]
[tex]A = 64\pi[/tex]
[tex]A = 201.06\ in^2[/tex]
