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Vessel is a catch-all term, like 'watercraft', which describes any floating object used for the carriage of people or goods. Generally smaller and less complex vessels are 'boats', whilst larger and more complex vessels are 'ships'. As a general rule, you can put a boat on a ship, but you can't put a ship on a boat.
A pressure vessel is a closed tank that is certified by the manufacturer (at the least) to hold up to a maximum pressure. the tank is container like pot etc with or without a lid where we can store any liquid and from that we can draw any quantity. But a pressure vessel is not like a tank.