Answer:
The surface area of the sphere is 314 mi².
Step-by-step explanation:
According to the given diagram, the diameter of the sphere is 10 mi.
If the radius is [tex]r[/tex], then diameter [tex]=2r[/tex]
So....
[tex]2r=10\\ \\ r=\frac{10}{2}= 5[/tex]
Formula for the surface area of a sphere: [tex]A_{S}= 4\pi r^2[/tex]
Plugging the value of [tex]r[/tex] into this formula, we will get...
[tex]A_{S}=4\pi(5)^2\\ \\ A_{S}=4\pi(25)\\ \\ A_{S}=4(3.14)(25)\ \ [Using\ \pi=3.14]\\ \\ A_{S}=314[/tex]
So, the surface area of the sphere is 314 mi².
