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Hello everyone. You may not see me around much, since this here is quite the only reason why people even know... let's just get on with why this exists.

Premise:

Just going to exclaim this out right now, this in no way is created to discredit the calculation that we use Average Mountain Destruction blog we currently use for most feats regarding mountains being destroyed in many fictions that do that. I personally believe as a placeholder for it, it's not bad. But if I were to be personally honest, especially since I brought the concept up in my own blog, I feel like I have an obligation to say what I believe. The calculation itself uses pixel scaling to figure out the radius of the base. Not to say there's anything wrong with pixel scaling, but let's remember this factor. Most Mountain Destruction feats either have a visual or don't. If they have visuals, then go ahead and figure out the radius via pixel scaling. But I am focusing on the situation where no such luxury exists, where it is a statement that has been approved to be legitimate, but no given visual to be able to figure the volume of the Mountain. Since such a specific as the radius in the standard Mountain Destruction blog we currently use can't just suddenly apply for every Mountain. But there is something we can do about it.

Solution:

As I brought in my own blog regarding Mountains, I brought up this concept called angle of repose which basically describes the idea that the steepest angle of descent or dip relative to the horizontal plane to which a material can be piled without slumping. Which leads me to believe that long standing mountains won't have an average angle of more than 45°. Hence, following trigonometry, leads me to assume that the radius of the Mountain is equal to its height.

Calculation:

Now from this point, it would be a simple get the volume, have the Destruction Values at the draw, and be done, right? Well, it's a bit more complicated about that. You see, what people don't tell you is, get this, it's up in the air what even is the Standard Height of Mountains. On one hand, the wiki currently sees that 609.6 meters to be the minimum height for Mountains, which is backed up by the UK government's and Whittow's Dictionary of Physical Geography definition of the Minimum requirement. But ten again, geologists would point out that some definitions also include a topographical prominence requirement, such as that the mountain rises 300 metres (984 ft) above the surrounding terrain. Even at one point, the U.S. Board on Geographic Names defined a mountain as being 1,000 feet (305 m) or taller, but has abandoned the definition since the 1970s and left it in the air what the minimum requirement is. However, the UN Environmental Programme's definition includes these as the following for a "mountainous environment". It as goes as far to say anything lower than 300 meters isn't considered a mountainous environment. With that being said, I won't be picking sides, but instead be giving both options to see whether or not one is preferred over the other. With that all being said, let's now begin.

Volume for Mountain of 300 meters height: pi*300^2*(300/3) = 28274333.8823 m^3 or 2.827433e+13 cm^3

Volume for Mountain of 609.6 meters height: pi*609.6^2*(609.6/3) = 237226659.27 m^3 or 2.37227e+14 cm^3

Destruction Yields for a 300 m Mountain:

• Fragmentation (8 J/cc) = 2.2619467e14 Joules Town level+
• Violent Fragmentation (69 J/cc) = 1.950929e15 Joules Large Town level
• Pulverization (214.35 J/cc) = 6.060603e15 Joules Small City level
• Vaporization (25700 J/cc) = 7.2665038e17 Joules Mountain level

Destruction Yields for a 609.6 m Mountain:

• Fragmentation (8 J/cc) = 1.897816e15 Joules Large Town level
• Violent Fragmentation (69 J/cc) = 1.6368663e16 Joules Small City level+
• Pulverization (214.35 J/cc) = 5.084960745e16 Joules City level
• Vaporization (25700 J/cc) = 6.0967339e18 Joules Mountain level

While I am at it, why not include the Minimum height for Japanese Mountains because Lord knows how many Manga/Anime/LN/etc. are going to pull that off. Anyways, their generally accepted definition for a Mountain is 1000 meters, so yeah.

Volume for Minimum Height of a Japanese Mountain: (1/3)*pi*1000^2*1000 = 1.04719755e9 m^3 or1.04719755e15 cm^3

Destruction Yields for minimum requirement of a Japanese Mountain:

• Fragmentation (8 J/cc) = 8.37758e15 Joules Small City level
• Violent Fragmentation (69 J/cc) = 7.2256631e16 Joules City level
• Pulverization (214.35 J/cc) = 2.24466795e17 Joules City level+
• Vaporization (25700 J/cc) = 2.6912977e19 Joules Island level

Class Edition:

Now it came to my attention that I didn't utilize the article that lists the Class System for Mountain heights. Now I am going to explore the Values for these, since these are classifications of these Mountains. Not like these would be represented often in fiction, but the article does make the distinction of what "minor mountainous environment" and a "mountainous environment" is. Perhaps this could fill in for when the Mountain in the verse is treated as a pretty "large" mountain. With that said, let's begin.

Oddly enough Class 6 and 5, which is composed of the 300-1000 meters has already been done by me, so I am going to redirect to the Calculation above this section for those values.

Volume for Minimum Class 4 Mountain: π×1500²×(1500/3) = 3,534,291,735.2885 m³ or 3.53429173e15 cc

Volume for Minimum Class 3 Mountain: π×2500²×(2500/3) = 16,362,461,737.447 m³ or 1.63624617e16 cc

Volume for Minimum Class 2 Mountain: (1/3)×π×3500²×3500 = 44,898,595,007.554 m³ or 4.4898595e16 cc

Volume for Minimum Class 1 Mountain: (1/3)×π×4500²+4500 = 95,425,876,852.79 m³ or 9.5425876e16 cc

Now for the Destruction to come to pass.

Destruction Values for Minimum Class 4 Mountain:

• Fragmentation (8 J/cc) = 2.82743339e16 Joules City level
• Violent Fragmentation (69 J/cc) = 2.4386613e17 Joules City level+
• Pulverization (214.35 J/cc) = 7.57575434e17 Joules Mountain level
• Vaporization (25700 J/cc) = 9.08312977e19 Joules Island level

Destruction Values for Minimum Class 3 Mountain:

• Fragmentation (8 J/cc) = 1.30899694e17 Joules City level
• Violent Fragmentation (69 J/cc) = 1.12900986e18 Joules Mountain level
• Pulverization (214.35 J/cc) = 3.50729367e18 Joules Mountain level
• Vaporization (25700 J/cc) = 4.20515266e20 Joules Large Island level

Destruction Values for Minimum Class 2 Mountain:

• Fragmentation (8 J/cc) = 3.5918876e17 Joules City level+
• Violent Fragmentation (69 J/cc) = 3.09800306e18 Joules Mountain level
• Pulverization (214.35 J/cc) = 9.62401384e18 Joules Mountain level+
• Vaporization (25700 J/cc) = 1.15389389e21 Joules Large Island level

Destruction Values for Minimum Class 1 Mountain:

• Fragmentation (8 J/cc) = 7.63407015e17 Joules Mountain level
• Violent Fragmentation (69 J/cc) = 6.58438551e18 Joules Mountain level
• Pulverization (214.35 J/cc) = 2.04545367e19 Joules Island level
• Vaporization (25700 J/cc) = 2.45244504e21 Joules Large Island level+

Afterword:

So in the end, what did we learn from all this? Well, when following angle of repose, the wiki standard for Mountain height's values certainly lowered down by a bit, while the minimum requirement for Japanese Mountain height strikingly resembles the values in the Average Mountain Destruction blog. So... that's it, I suppose.