How many people can a sealed 3x1x1 km biome support?

Question Context :

Mars second moon Deimos has been converted into a generation ship.

A considerable portion of its mass has been shaved off during the process & ejected backwards along its path by Railgun to help increase orbital velocity (if we need additional thrust to break orbit, perhaps nuclear explosions in a concave ablation shield could be used).

It's now a stubby rough formed cylindre with a length of at least 11 km & a width of some 5 km or more in which we've excavated 10 tunnels each 3 km long in two rows 1 km apart (so like 5 tubes with a 1 km plug in the middle of each strapped around a central tube).

Which leaves a 1 km thickness of rock to shield against radiation with an extra 1 km front & back (so 2 km there), the main propulsion envisioned is that of project orion, so the rear thickness can be considered additional shock absorption & ablation shielding.

This cylinder spins around its short axis fast enough to keep things in the tunnels on the 'ground'

The Question Itself :

Assuming our 3 km tubes are 1 km in diameter (allowing for space for the soil, water & plants etc), how many people can one plausibly support if its a sealed biome using no substantial technology?

The biome intended is a temperate climate without hydroponics using ordinary animals & plants.

When I say no significant technology I don't include simple management like burning a bit of dead wood if CO2 is low to put more into the air to encourage plant growth.

Edit : adequate lighting is simply assumed at this point.

posted over 4 years ago

Pelinore‭

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