What If We Dumped Our Trash into Volcanoes?

A volcano is one of the most unforgiving natural phenomenons on Earth. If you were to fall into its magma-filled center, your body would quickly bubble up, and disappear without a trace. So if they're so good at getting rid of things, why aren't we using them to get rid of our garbage? Has anyone tried it before? How would we transport all our trash to them?