How to apply Euler's formula for cylinder?
Euler's formula is V-E+F =2 where V denotes the number of vertices, E denotes number of edges and F denotes number of faces.
Assume seam in a cylinder.
For cylinder,
Faces are the curved part of the cylinder ,the top which is flat , the bottom which is flat.
Hence there are 3 faces
Edges are the seam up the side of the curved face,the circle around the top face,the circle around the bottom face.
Hence there are 3 edges
Vertices are the point at the top of the seam ,point at the bottom of the seam.
Hence there are 2 vertices.
So putting the values in Euler's formula we get,V-E+F = 3-3+2 = 2
Hence Euler's formula is verified for cylinder
Assume seam in a cylinder.
For cylinder,
Faces are the curved part of the cylinder ,the top which is flat , the bottom which is flat.
Hence there are 3 faces
Edges are the seam up the side of the curved face,the circle around the top face,the circle around the bottom face.
Hence there are 3 edges
Vertices are the point at the top of the seam ,point at the bottom of the seam.
Hence there are 2 vertices.
So putting the values in Euler's formula we get,V-E+F = 3-3+2 = 2
Hence Euler's formula is verified for cylinder