Captain James

Why is the memorial site for Captain James Cook in Kealakekua Bay Hawaii, British land and territory?
It what year was that arranged and done?
Shouldn’t it be a part of Hawaii and the USA?
There is a monument to Capt, Cook there because he discovered the islands, the monument was erected in 1874 http://www.hawaiiweb.com/hawaii/html/sites/captain_cooks_monument.html. The actual memorial is in Canberra http://en.wikipedia.org/wiki/Captain_James_Cook_Memorial
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