Answer:
10 in
Step-by-step explanation:
So we want to consider the surface area of this sphere.
The formula for surface area of a sphere is
.
So we have that the surface area is
.
So I'm going to replace
in
with
.

Now our main objective here is to solve for
:
Divide both sides by
:

This gets us
by itself:

What number squared gives you 25? If you don't know, just take the square root of both sides giving you:

Now you can just put
in your calculator. You should get 5.
5 is the radius
The diameter is twice the radius.
So 2(5) is 10, so the diameter is 10 in.