[tex]\text{Total Surface Area of a cylinder(TSA) = (2}\times\pi\times r\times h)\text{ + (2}\times\pi\times r^2)[/tex][tex]\begin{gathered} \pi=3.14 \\ h=\text{ 4in} \\ r=\text{ }\frac{diameter}{2}=\frac{6}{2}=\text{ 3 in} \end{gathered}[/tex][tex]\begin{gathered} \text{TSA}=(2\times3.14\times3\times4)\text{ + (2}\times3.14\times3^2) \\ \end{gathered}[/tex][tex]\begin{gathered} \text{TSA}=\text{ }75.36+56.52 \\ \text{TSA}=131.88in^2 \\ TothenearestintergerTSA=132in^2 \end{gathered}[/tex]
Option C.......... answer
