Answer: 13 inches
Step-by-step explanation:
The formula to calculate the surface area of sphere is given by :-
[tex]S.A.=4\pi r^2[/tex], where r is the radius of the sphere.
Given: The surface area of the sphere = 2,122.64 square inches
Then,
[tex] 2,122.64=4\pi r^2[/tex]
Dividing both sides with [tex]4\pi[/tex], we get
[tex]r^2=\dfrac{2,122.64}{4\pi}\\\\\Rightarrow\ r^2=\dfrac{2,122.64}{4\times3.14}\\\\\Rightarrow\ r^2=169\\\\\Rightarrow\ r=\sqrt{169}=13[/tex]
Hence, the radius of sphere = 13 inches.
