Answer:
11 inches
Step-by-step explanation:
We know that [tex]SA=4\pi r^2[/tex]. We know that [tex]SA=379.94[/tex] and that [tex]\pi\approx3.14[/tex]. We solve for [tex]r[/tex]: [tex]379.97=4\times3.14\times r^2[/tex]
[tex]r^2=30.25[/tex]
[tex]r=5.5[/tex]
Since [tex]d=2r[/tex], the diameter of the sphere is 11 inches.