I'm writing a story in Generic Dystopian Regime™. One character lives in a housing block. This housing block is shaped like an upside-down (i.e. the flat part is facing upwards) hemisphere; while it is technically above ground level, it's entirely buried in a mound of earth intended to protect it against a nearby tactical nuclear strike.
It was intended to be a panopticon-style method of monitoring each individual housing unit from a guardhouse on the ceiling. This guardhouse features a ball turret-shaped gun emplacement intended to suppress revolts. As such, each housing unit is the same distance away from the gun turret (hence the hemispherical shape).
It would have been a whole sphere, but the gun turret wouldn't have been able to aim at the entire inside of the sphere regardless of where it was placed.
The inside of this hemisphere features concentric rings of walkways; the ones near the top have a greater diameter, whereas the ones near the bottom have a narrower one. Each one is circular, spanning the entire circumference of the sphere at whichever height they're built at.
Imagine a hollow ball of concrete with housing units built into the inside of it - then cut it in half. Each level of housing units is a circular terrace that gets progressively larger the closer it is towards the ceiling. You can also imagine it as a circular amphitheater - just with a roof.
What advantages and disadvantages would the structure of this building pose? For instance:
What would the acoustics be like?
Would this help or hinder ventilation?
Would a hemispherical shape be a more efficient use of construction materials? I personally think it would, since a ball has the best volume (i.e. usable living room)-to-surface area (material required) ratio, and we can't use a whole one, since the gun turret would be unable to cover every walkway. However, I'd also appreciate different perspectives on this.
Would a hemispherical shape be easier or harder to construct? Take into consideration that it's buried in compacted earth; each layer of it can be built like a cake, rather than building the entire hemisphere and then burying it, which I doubt would be as easy.
Ask me questions if you need clarification on something.