Respuesta :

Answer:

70.66 square inches

Explanation:

The total surface area of the cylinder is expressed as;

[tex]TSA\text{ = 2}\pi r(r+h)[/tex]

r is the radius = 5/2 inches

h is the height = 2in

[tex]\begin{gathered} \text{TSA = 2(3.14)(5/2)(5/2+2)} \\ \text{TSA = }2(3.14)(2.5)(2.5+2) \\ \text{TSA = }15.7(4.5) \\ TSA\text{ = }70.66in^2 \end{gathered}[/tex]

Hence the total surface area of the figure is 70.66 square inches