He was best known as the lead singer in Soundgarden and Audioslave, and also performed the theme song to the 2006 James Bond film Casino Royale.
In a statement, Cornell’s representative Brian Bumbery said his death was “sudden and unexpected”.
The statement also said the family would be working closely with the medical examiner to determine the cause and asked for privacy.
Cornell was on tour and had a number of live dates scheduled for later this month on his website.
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