Question

What is the surface area of the sphere?

Answer 1

The surface area of the sphere is 314 mi².

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=(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.