What happens to volcanoes as they move away from magma source (plume) ?

When the crust bearing the volcano moves away from the plume, the volcano becomes extinct

Explanation:

A plume is a warm rock cresting column that arises deep within the mantle, potentially just over the limit of the core mantle. Plume are believed to increase at about 10 times the pace of convection of the mantle. The volcano is active when it is directly above the plume. When the crust bearing the volcano moves away from the plume, the volcano becomes extinct. But the volcanic cone's composition continues.