The dough-based vase-shaped snack comprises a cone- or cylinder-shaped outer layer (11 ) made of dough having a closed lower portion (11a) and a rim upper portion (11b) around an open top, and a savoury or sweet filling (12) located within said outer layer (11 ) and having a top surface (12a) exposed at said open top of the outer layer (11 ). The filling (12) comprises a hollow core (12b) open at said top surface (12a) thereof, said hollow core (12b) being sufficiently wide to allow for the microwaves to propagate through it and provide for the irradiation with microwaves of the filling (12) from surfaces of the hollow core (12b).