Question

What is the surface area of the sphere?

Answer 1

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.