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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.