How large would a space ship need to be to feed 10,000 people?

I want to put 10,000 humans in a space ship and send them into space. They don't have a set destination - they're having to flee their homeworld, and they don't know what planet will take them in, so they need to have a way to grow food in addition to having stores onboard. How big should this area be? How much space should they devote to storing nutrients for the plants? Is there a good way to recycle the nutrients?

These people have access to hydroponics and high-yield crops that will survive in space. Additionally, since their situation is desperate, they don't need to have space for luxury crops, just the necessities.

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How large would a space ship need to be to feed 10,000 people?

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