[tex]\sf{Radius \: of \: cylinder = 3 inch}[/tex]
[tex]\sf{Height \: of \: cylinder = 10 inch}[/tex]
[tex]\sf{To \: find: \: Surface \: area}[/tex]
[tex]\sf{ = \frac{2 \times 22}{7} \times 3 \times 10 + \frac{2 \times 22}{7} \times {3}^{2}} \\ [/tex]
[tex]\sf{ = \frac{1320}{7} + \frac{396}{7}} \\ [/tex]
[tex]\sf{ = \frac{1716}{7}} \\ [/tex]
[tex]= \sf\underline{245.14inch^{2} }[/tex]