The surface area of a sphere can be calculated using this formula:
[tex]SA=4\pi r^2[/tex]Where "r" is the radius of the sphere.
In this case, knowing that:
[tex]SA=38\pi\text{ }in^2[/tex]You can substitute this value into the formula and solve for the radius "r". Then, you get:
[tex]\begin{gathered} 38\pi\text{ }in^2=4\pi r^2 \\ \\ \frac{38\pi\text{ }in^2}{4\pi}=r^2 \\ \\ \sqrt[]{\frac{38\pi\text{ }in^2}{4\pi}}=r \end{gathered}[/tex][tex]r\approx3.08\text{ }in[/tex]Therefore, the answer is:
[tex]r\approx3.08\text{ }in[/tex]