How many Reddit Moons would it take to buy the Moon if it were made out of cheese?

At the time of this post, Reddit’s Moons are currently listed at $0.1109.

https://preview.redd.it/vwzmngctp6581.png?width=854&format=png&auto=webp&s=9276735a0c15ec7674c702fae554a10f496e5bc0

Well friends of Reddit, first we ponder how to do this. So I first decided, after conducting several hours of research, (see first page of Google search below), that the cheese that most resembles the Moon is Swiss Emmental cheese.

https://preview.redd.it/8875x1a6q6581.png?width=767&format=png&auto=webp&s=5231c4e8fdfe04d953c3a6e709dda8de614c2bd4

To calculate the total cost of this dairy celestial object, it is evident that we need the total mass of the cheese entity itself. We know from physics that mass = Volume x Density. Because only the material of the moon is changing, the volume should remain the same (21.9 billion km^3.)

The density however is a little more complicated. Now because cheese has holes in it, I was stuck with the question if cheese has a uniform or variable density. For simplicity I proceed under the premise that this type of cheese has uniform density. If we assume that the density was variable, we could integrate the mass with respect to volume like below. Of course we would use spherical coordinates for simplicity due to the inherent shape of the moon (Scalene Ellipsoid).

https://preview.redd.it/r7tjz4bcq6581.png?width=772&format=png&auto=webp&s=a24a5055bb4ac47f52aab7c9f6bc71de01e6f604

However, we shall assume this cheese has uniform (constant) density. The USDA quantified that Swiss Emmental cheese has an average density of 1.1g/cm3. That means its density is also (1.1e+15). Based on our formula M=VD, our great planetary body of cheese should equate to 21,900,000,000x1.1e+15=65483409262.6 grams in mass.

According to Gourmet Food, on average, the price of swiss emmental cheese goes for$19.19/lb which is roughly 4.23 cents a gram. (See below)

https://preview.redd.it/7vsdkd5jq6581.png?width=799&format=png&auto=webp&s=355a376bda38fad5cc7f6004fc9bfe695fa28c8f

This would mean that in US Dollars, we would require 21,900,000,000x110,000=2.409e+15 (.0423) USD to purchase our cheese moon. Converting to Reddit Moons, as seen in the exchange rate above, we would require. (65483409262.6(.0423))/.011) Reddit Moons.

https://preview.redd.it/8gaotvkpq6581.png?width=170&format=png&auto=webp&s=3beb61ace177fad57d1811f69157f774bdad184b

Edit: I assigned several variables constant/linear for simplicity. Obviously, in the real-world our metrics change in response to volatility of the market.

Edit 2: Thank you for the awards and moons kind strangers :)