Question: Why can solid rockets be both the skinniest and most spherical launch vehicles while liquid fuel rockets have a more limited range of aspect ratios? Are there fundamental engineering principles at work? Simple physics? Or is the devil in the details?
Evidence of solid rocket launch vehicle "noodlicity":
This answer to Most noodle-like (highest aspect ratio) orbital launch vehicle ever?
- Scout X-2: 25m: 1.01m = 24.75
Scout X-2
Evidence of solid rocket launch vehicle sphericity:
How do spherical SRB's compare to long skinny ones? What do their thrust curves look like?
The first stage of this Mars launch vehicle is pretty squat and is just as spherical as a spherical cow. Source: Spaceflight Now's NASA narrows design for rocket to launch samples off of Mars
This diagram illustrates one concept for a two-stage, solid-fueled Mars Ascent Vehicle. Credit: NASA/MSFC
Counterevidence: squat liquid launch vehicles
- SERV "VTOVL orbital launch vehicle. Chrysler ballistic single stage to orbit alternate shuttle proposal of June 1971. This was the most detailed design study ever performed on a VTOVL SSTO launch vehicle. The 2,040 metric ton SERV was designed to deliver a 53 metric ton payload to orbit in a capacious 7 m x 18 m payload bay."
- Apollo Lunar Module