Answer:
The surface area of the cylinder is [tex]\mathbf{70\pi\;\textbf{cm}^2}[/tex]
Step-by-step explanation:
The surface area of a cylinder is express
[tex]S=2\pi rh[/tex]
where [tex]r[/tex] is the radius of the cylinder and [tex]h[/tex] its height
Therefore, if the radius of the cylinder is
[tex]r=5\;\text{cm}[/tex]
and its height
[tex]h=7\;\text{cm}[/tex]
the surface area should be
[tex]S=2\pi r h\\S=2\pi (5\;\text{cm})(7\;\text{cm}) \;\;\;\;\;\Rightarrow\;\;\;\;\; \mathbf{S=70\pi\;\textbf{cm}^2}[/tex]
