The Surface Area (S.A) of a sphere can be calculated using the following formula:
[tex]S.A=4 \pi r^{2} [/tex]
here, r is the radius of the sphere. From the picture we can see that the diameter of the sphere is given to be 2 inches. Since radius is always half of the diameter, the radius of the sphere will be 1 inch.
Using the value of r we get:
[tex]S.A=4 \pi (1) ^{2}=4 \pi =13 [/tex]
Rounding to nearest inch, the surface area of the sphere will be 13 square inches.
So, option C is the correct answer