The surface area of a cylinder with radius r and height h is given by the formula:
[tex]A=2\pi r\times(r+h)[/tex]
Since r=5cm and h=10cm, then:
[tex]\begin{gathered} A=2\pi\times5\operatorname{cm}\times(5\operatorname{cm}+10\operatorname{cm}) \\ =2\pi\times5\operatorname{cm}\times(15\operatorname{cm}) \\ =2\pi\times5\operatorname{cm}\times(15\operatorname{cm}) \\ =150\pi cm^2 \end{gathered}[/tex]
Therefore, the surface area of the cylinder in terms of π is:
[tex]150\pi\text{ }cm^2[/tex]
