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 \(r\), then diameter \(=2r\)
So....
\(2r=10\\ \\ r=\frac{10}{2}= 5\)
Formula for the surface area of a sphere: \(A_{S}= 4\pi r^2\)
Plugging the value of \(r\) into this formula, we will get...
\(A_{S}=4\pi(5)^2\\ \\ A_{S}=4\pi(25)\\ \\ A_{S}=4(3.14)(25)\ \ [Using\ \pi=3.14]\\ \\ A_{S}=314\)
So, the surface area of the sphere is 314 mi².
