To solve this problem you must apply the proccedure shown below:
1. You must apply the following formula for calculate the surface area of a cylinder:
[tex] SA=L+2B [/tex]
Where [tex] L [/tex] is the lateral area and [tex] B [/tex] is the area of the base.
2. Therefore, when you substitute values into the formula, you obtain:
[tex] SA=25.3in^{2} +2(20.7in^{2})\\ SA=66.7 in^{2} [/tex]
The answer is: [tex] 66.7 in^{2} [/tex]