Mannahnin
Scion of Murgen (He/Him)
Indeed. And part of the fun of Fireball in 1E is working out such calculations, and for DMs, occasionally making such encounter areas with low ceilings and narrow, winding corridors such that it's hard (or even impossible, due to limited information) for the M-U to predict exactly how far the Fireball will extend.The first time I lit a fireball in a "by the books" campaign, though, I guessed poorly and caught most of the party in the (expanded by small passages and low ceilings) blast zone.
The text on the 1e fireball was brutal: "The fireball fills an area equal to its normal spherical volume (roughly 33,000 cubic feet--thirty-three 10' x 10' x 10' cubes)" (pulled from enworld, I don't have the book handy)
...But have any of you gotten into the math on the fact that this implies, since Fireball is spherical, that even casting it out in the open at ground level will expand the volume past 20' radius, since the ground is truncating part of the sphere?
Delta, being a math professor, of course went into the weeds on this and did both the easy math (Fireball targeted right at ground level), and the calculus / cubic math to figure out the actual radius if you target it at 5' off the ground, say right around the face/neck area of man-sized enemies you're fighting, as one might expect would be an intuitive targeting point.
The article is a fun read even if you're not a super math nerd, so I'll link it below and put the actual answers here in spoiler tags.

Answer: Targeted at ground level Fireball winds up with a radius of 25', and 23' if targeted 5' above the ground.
