In order to calculate the lateral surface area of the cylinder, we can use the following formula:
[tex]\text{LSA}=2\pi rh[/tex]
Where r is the radius and h is the height of the cylinder.
Using r = 3 and h = 3, we have:
[tex]\begin{gathered} \text{LSA}=2\pi\cdot3\cdot3 \\ \text{LSA}=18\pi \end{gathered}[/tex]
So the LSA is equal 18π cm², therefore the answer is 18.
