Plants outdoors in 6.3 gallon pots

Hey everyone I started my seed on April 30th in 4" pots under a 400 watt MH.

I transplanted them into slightly bigger 6" pots on May 17th and I already see the roots trying to come out the bottom of the pots and they are drinking up the water.

Would it be ok to leave them in these 6" pots until I put them outdoors? If not what size would be good? I have little room so im trying to keep it small til its outside.

I'm planning on putting my plants outdoor on June 10th in 6.3 gallon pots. Can I grow plants big enough to yeild 500g + in a pot this size? Or maybe I should dig some holes and use garbage bags to grow in?
 
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