A live volcano is simply called an active volcano.
"WhatIS IT CALLED when a Volcano is not active" do you mean? It is known as Extinct or Dormant
A volcano that is not active is a dormant volcano.
An Active Volcano.
A dormant volcano.
active
An active volcano? Sorry I couldn't help much, but this is the most clear answer : \
A volcano that has erupted recently is classed as an active volcano.
A Polinanus.
ACTIVE! Ones that are sleeping but could erupt again are called DORMaNT! And ones that are never going to erupt again are called EXTINCT!
Kilauea
Such types are called active volcanoes. Their regularity varies widely. Those ones who are not active are called extinct or dead volcanoes.