I doubt it would result in the end of life as we know it. Solar power might be gone, but we'd still have wind, coal, hydroelectric and other sources of power.
Growing food might be tough, but we could cull our farm animals. That would give us an immediate increase in available food and would nearly halve demand for grains.
We could also dramatically cut our spending on anything less than vital. The United States and Canada would probably pull their militaries back home, and get working on building greenhouses.
Large-scale food growth with electrical lighting would be incredibly expensive, but if we dedicated our entire economy to sustenance, rather than the higher-level needs we focus on now, I think we'd mostly survive.
Zozz said:
But you'd think these people would do some research before their segment.
They clearly knew something. The interviewer corrected him when he mistakenly said it had been millions of years since the last eruption.