No, in math we can describe a system using numbers. The more numbers you have the more "dimensions" you have. 100 tanks will require 100 different numbers to describe the heights. This is purely a mathematical dimension though, not a "real" one.
Physics is NOT math!!!!
Physics IS reality!!!
Besides, dimensions in math, per my understanding, constitute values which are to be multiplied against one another to describe the system (i.e., zero power (number 1, point in space/time), first power (one dimension, length of a line connecting two points (as in the fluid level of the contents of a tank), second power (two dimensions; multiple lines within a plane or a single-dimensional line whose length varies over time), third power (height, depth, breadth, or height and breadth changing shape over time, as in a television cartoon, or height or breadth and depth changing shape over time, which would make for a very boring cartoon much of whose motion would be invisible to you), fourth power (reality: the three observed spacial dimensions plus the single observed temporal dimension), whereas the differing levels of fluid within 100 tanks is purely an additive process, not involving the exponential mathematics which describe true dimensions.
By the way, gasses would tend to expand to fill any space which they occupy (losing heat in the process), so what is really meant in this case by "fluid levels" actually means "liquid levels", unless you're talking about some super-heavy gas lying on top of a much lighter gas.
Look, I know that I'm going to be banned from this forum for having dared to challenge a Mentor via my intervention in this thread, but I"m just doing what I'm doing in the hope that I might get through to someone who might cary on along the lines I've here proposed.