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Answer :

Given:

The radius, r=4cm.

The height, h=9cm.

To find the surface area of the cylinder:

The surface area of the cylinder is,

[tex]\begin{gathered} A=2\pi rh+2\pi r^2 \\ =2\pi\times4\times9+2\pi\times4^2 \\ =72\pi+32\pi \\ =104\pi cm^2 \end{gathered}[/tex]

Thus, the surface area of the cylinder is,

[tex]104\pi cm^2[/tex]