find the surface area of the cylinder to the nearest tenth of a square unit.

Answer:
[tex]\large\boxed{412\ cm^2}[/tex]
Step-by-step explanation:
Th formula of a Surface Area of a cylinder:
[tex]S.A.=2\pi r(r+H)[/tex]
We have r =4cm and H = 12.4cm. Substitute:
[tex]S.A.=2\pi(4)(4+12.4)=8\pi(16.4)=131.2\pi\ cm^2[/tex]
[tex]\pi\approx3.14[/tex]
[tex]V\approx(131.2)(3.14)=411.968\ cm^2\approx412\ cm^2[/tex]