Since 1982 the magnitude of volcanic eruptions has been measured using a logarithmic scale from 0-8 called the Volcano Explosivity Index (VEI)
Volcanic classifications based upon the violence of the eruption may include a VEI rating, but are more useful if related to tectonics by including details of the type of magma and even frequency.
What is dormant?
They classify a dormant volcano as one that hasn’t erupted in the past 10,000 years, but which is expected to erupt again. The term is used to describe a volcano which is presently inactive but which may erupt again. Most of the major Cascade volcanoes are believed to be dormant rather than extinct.
What is active?
An active volcano is one that has erupted since the last ice age (i.e., in the past ~10,000 years). That is the definition of active used by the Global Volcanism Programme. A volcano that is erupting. Also, a volcano that is not presently erupting, but that has erupted within historical time and is considered likely to do so in the future.
What is extinct?
An extinct volcano would be one that nobody expects to ever erupt again. These are human definitions of natural things – there have been a number of eruptions from “extinct” volcanoes! Perhaps a better definition would be - A volcano that is not presently erupting and is not likely to do so for a very long time in the future.