There are various routes you can take, some of which would be along better roads. The journey would be at least 280 miles or 450 kilometres, although some of that would be on lower class roads.
About 106 miles, which is about 186 kilometres.
From Gort, Galway to Cork City is 101 miles.
about 53 miles
From Cork city to Enniscorthy is about 107 miles or 175 kilometres.
From Warrenpoint to the city of Cork is about 230 miles or 369 kilometres.
About 52 miles or 83 kilometres.
From Wexford town to Cork city is about 111 miles or 179 kilometres.
around 70 ....dundondona
From Cork city to Donegal town is about 388 kilometres or 241 miles.
Dublin Cork Limerick Galway Waterford Belfast (Northern Ireland)
It is 43.8 miles according to Google Maps.
West Cork would include a large area, so it depends on where you are going from as to how far it is to Cork city. It would be at least 30 miles and anything up to about 60 miles.