Answer:
R = 16 in
Step-by-step explanation:
The formula of a Surface Area of a sphere:
[tex]S.A.=4\pi R^2[/tex]
R - radius
We have
[tex]S.A.=1024\pi\ in^2[/tex]
Substitute:
[tex]4\pi R^2=1024\pi[/tex] divide both sides by π
[tex]4R^2=1024[/tex] divide both sides by 4
[tex]R^2=256\to R=\sqrt{256}\\\\R=16\ in[/tex]
