Why does the Euler's formula work on a cylinder?

Oh, dude, Euler's formula works on a cylinder because it's like a mathematical magic trick that combines the number of vertices, edges, and faces. The formula basically says V - E + F = 2, and on a cylinder, you've got the right combo to make it all add up to 2. So, yeah, Euler's formula just does its thing, making math look cool on a cylinder.