How did albert speer die?

Cerebral hemorrhage

Yes, but it should also be added that his death occurred in London with his young English mistress present. Gitta Serny in her exhaustive bio on Speer mentions that he admitted this affair to her and that she thought he was a different man - happy, carefree - compared to the man she had been interviewing over the years. She chalked up the affair as a good thing - a freeing of his constrained psyche, if you will.

I mention this because the fact is usually glossed over and I think its very relevant if you read anything about Speer. This behavior was a huge break with his former way of life and almost leads one to believe we may have learned a lot more about his true knowledge during the Nazi era had he lived longer.