The Surface Area (S.A) of a sphere can be calculated using the following formula:
![S.A=4 \pi r^(2)](https://img.qammunity.org/2019/formulas/mathematics/college/3ee653ba94ilobeus10xnm4b6d6iqdbq6n.png)
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:
![S.A=4 \pi (1) ^(2)=4 \pi =13](https://img.qammunity.org/2019/formulas/mathematics/college/ujuoegdjeciv55u8ycg01n1crsdt1a3llj.png)
Rounding to nearest inch, the surface area of the sphere will be 13 square inches.
So, option C is the correct answer