Mountain and Island Class requirements

We are going to figure out how much energy it really takes to bust mountains of different sizes.

For a minimum size of a mountain to have **Mountain Class** yield at minimum via:

### Fragmentation: Mountain Class

* (4.184e17 Joules) / (8 Joules/cc) = **5.230e16 cm^3**, or 5.230e10 m^3 destroyed.
* Assuming that a mountain is considered a cone, the volume for that is **(Pi)\*(Radius^2)\*(Height/3)**
* Assuming that the mountain's height and radius are equal, the minimum values for both radius and height should be about **3682.55m**.
* Plug the above number for both radius and height for the cone volume and you get the volume required for Mountain Class via fragmenting it.

### Violent Fragmentation: Mountain level

* (4.184e17 Joules) / (69 Joules/cc) = **6.064e15 cm^3**, or 6.064e9 m^3 destroyed.
* Assuming that a mountain is considered a cone, the volume for that is (Pi)\*(Radius^2)\*(Height/3)
* Assuming that the mountain's height and radius are equal, the minimum values for both radius and height should be about **1795.72m**.
* Plug the above number for both radius and height for the cone volume and you get the volume required for Mountain Class via violent fragmentation.

### Pulverization: Mountain Class

* (4.184e17 Joules) / (214 Joules/cc) = **1.955e15 cm^3**, or 1.955e9 m^3 destroyed.
* Assuming that a mountain is considered a cone, the volume for that is (Pi)\*(Radius^2)\*(Height/3)
* Assuming that the mountain's height and radius are equal, the minimum values for both radius and height should be about **1231.33m**.
* Plug the above number for both radius and height for the cone volume and you get the volume required for Mountain Class via pulverization.

### Vaporization: Mountain Class

* (4.184e17 Joules) / (27050 Joules/cc) = **1.547e13 cm^3**, or 1.547e7 m^3 destroyed.
* Assuming that a mountain is considered a cone, the volume for that is (Pi)\*(Radius^2)\*(Height/3)
* Assuming that the mountain's height and radius are equal, the minimum values for both radius and height should be about **249.16m**.
* Plug the above number for both radius and height for the cone volume and you get the volume required for Mountain Class via vaporization.

For a minimum size of a mountain to have **Large Mountain Class** yield at minimum via:

### Fragmentation: Large Mountain Class

* (4.184e18 Joules) / (8 Joules/cc) = **5.230e17 cm^3**, or 5.230e11 m^3 destroyed.
* Assuming that a mountain is considered a cone, the volume for that is (Pi)\*(Radius^2)\*(Height/3)
* Assuming that the mountain's height and radius are equal, the minimum values for both radius and height should be about **7934m**.
* Plug the above number for both radius and height for the cone volume and you get the volume required for Large Mountain Class via fragmenting it.

### Violent Fragmentation: Large Mountain Class

* (4.184e18 Joules) / (69 Joules/cc) = **6.064e16 cm^3**, or 6.064e10 m^3 destroyed.
* Assuming that a mountain is considered a cone, the volume for that is (Pi)\*(Radius^2)\*(Height/3)
* Assuming that the mountain's height and radius are equal, the minimum values for both radius and height should be about **3868.76m**.
* Plug the above number for both radius and height for the cone volume and you get the volume required for Large Mountain Class via violent fragmentation.

### Pulverization: Large Mountain Class

* (4.184e18 Joules) / (214 Joules/cc) = **1.955e16 cm^3**, or 1.955e10 m^3 destroyed.
* Assuming that a mountain is considered a cone, the volume for that is (Pi)\*(Radius^2)\*(Height/3)
* Assuming that the mountain's height and radius are equal, the minimum values for both radius and height should be about **2652.81m**.
* Plug the above number for both radius and height for the cone volume and you get the volume required for Large Mountain Class via pulverization.

### Vaporization: Large Mountain Class

* (4.184e18 Joules) / (27050 Joules/cc) = **1.547e14 cm^3**, or 1.547e8 m^3 destroyed.
* Assuming that a mountain is considered a cone, the volume for that is (Pi)\*(Radius^2)\*(Height/3)
* Assuming that the mountain's height and radius are equal, the minimum values for both radius and height should be about **528.63m**.
* Plug the above number for both radius and height for the cone volume and you get the volume required for Large Mountain Class via vaporization.

Usually, an island is going to be shaped like a circle. For example, a typical island will look like this:

For a minimum size of an island to have **Island Class** yield at minimum via:

### Fragmentation: Island Class

* (1.8e19 Joules) / (8 Joules/cc) = **2.250e18 cm^3**, or 2.25e12 m^3 destroyed.
* Mean/Average height of land elevation above sea level is 840m (Google)
* Volume of rectangle = Length\*Width\*Height, where Height = 840m
* Volume of cylinder = (Pi)\*(Radius^2)\*(Height), where Height = 840m
* Isolate for both Length and Width, assuming that both are equal, and you get a value of 51755m for length and width of said island respectively.

If the island is Rectangular:

* The dimensions of said island would have to be **51755m x 51755m x 840m** to yield **Island Class** values fragmenting it.

If the island is Cylindrical, the dimensions of said island would have to be:

* Radius = 29200m
* Height = 840m

in order to yield **Island Class** values fragmenting it.

### Violent Fragmentaton: Island Class

* (1.8e19 Joules) / (69 Joules/cc) = **2.61e17 cm^3**, or 2.61e11 m^3 destroyed.
* Mean/Average height of land elevation above sea level is 840m
* Volume of rectangle = Length\*Width\*Height, where Height = 840m
* Volume of cylinder = (Pi)\*(Radius^2)\*(Height)
* Isolate for both Length and Width, assuming that both are equal, and you get a value of 5574m for length and width of said island respectively.

If the island is Rectangular:

* The dimensions of said island would have to be **17627m x 17627m x 840m** to yield **Island Class** value via violent fragmentation.

If the island is Cylindrical, the dimensions of said island would have to be:

* Radius = 9945m
* Height = 840m

in order to yield **Island Class** values via violent fragmentation.

### Pulverization: Island Class

* (1.8e19 Joules) / (214 Joules/cc) = **8.411e16 cm^3**, or 8.411e10 m^3 destroyed.
* Mean/Average height of land elevation above sea level is 840m
* Volume of rectangle = Length\*Width\*Height, where Height = 840m
* Volume of cylinder = (Pi)\*(Radius^2)\*(Height)
* Isolate for both Length and Width, assuming that both are equal, and you get a value of 5574m for length and width of said island respectively.

If the island is Rectangular:

* The dimensions of said island would have to be **10007m x 10007m x 840m** to yield **Island Class** value via violent fragmentation.

If the island is Cylindrical, the dimensions of said island would have to be:

* Radius = 5654m
* Height = 840m

in order to yield **Island Class** values via pulverization.

### Vaporization: Island level

* (1.8e19 Joules) / (27050 Joules/cc) = **6.654e14 cm^3**, or 6.654e8 m^3 destroyed.
* Mean/Average height of land elevation above sea level is 840m
* Volume of rectangle = Length\*Width\*Height, where Height = 840m
* Volume of cylinder = (Pi)\*(Radius^2)\*(Height)
* Isolate for both Length and Width, assuming that both are equal, and you get a value of 5574m for length and width of said island respectively.

If the island is Rectangular:

* The dimensions of said island would have to be **17627m x 17627m x 840m** to yield **Island Class** value via vaporization.

If the island is Cylindrical:

* Well, apparently the radius of said island is less than the height; it's unrealistic for an island to have these dimensions, so we'll skip this part.

If we are talking about explosions, the minimum surface area that an explosion needs to cover to make Mountain/Large Mountain/Island level should be about (We will use **Near-Total Fatalities** for this):

### Mountain level Explosion:

* Radius Near Total Fatalities = **15.7km**
* Surface Area = (Pi)\*(radius^2).
* Surface Area = **7.74e8 m^2**. The explosion needs to cover this much circular area to make Mountain level.

### Large Mountain level Explosion:

* Radius Near Total Fatalities = **33.6km**
* Surface Area = (Pi)\*(radius^2).
* Surface Area = **3.55e9 m^2**. The explosion needs to cover this much circular area to make Large Mountain level.

### Island level Explosion:

* Radius Near Total Fatalities = **54.4km**
* Surface Area = (Pi)\*(radius^2).
* Surface Area = **9.30e9 m^2**. The explosion needs to cover this much circular area to make Island level.

Continuing from the above article from earlier, we will now be discussing the energy required to destroy mountains of differing size.

For this, we will look at two mountains, each of varying shape and size, as well as an island.

* A small mountain (A minimum size mountain)
* A large mountain (Mount Fuji)
* An Island (Cyprus Island)

**1) A small mountain**

> 2000 feet (609.6 meters) is usually considered the minimum to be considered a "mountain".
>
>

* Height = 517px, or **609.6m**
* Radius = Width/2 = 1849px/2 = 924.5px, or **1090.1m**
* Volume = (Pi)\*(Radius^2)\*(Height/3) = (3.1416)\*(1090.1^2)\*(609.6/3) = 758590275.6m^3, or 7.586e14 cm^3.

To destroy it:

* Fragmentation (8 J/cc) = 6.070e15 Joules, **Small City Class**
* Violent Fragmentation (69 J/cc) = 5.234e16 Joules, **City Class**
* Pulverization (214 J/cc) = 1.623e17 Joules, or **City Class**
* Vaporization (27050 J/cc) = 2.052e19 Joules, or **Island Class**

**2) Mount Fuji**

* Height = 130px = 3776m
* Radius = Width/2 = 708px/2 = 354px = 10282.3m
* Volume = (Pi)\*(Radius^2)\*(Height/3) = (3.1416)\*(10282.3^2)\*(3776/3) = 4.181e11 m^3, or 4.181e17 cm^3

To destroy it:

* Fragmentation (8 J/cc) = 3.345e18 Joules, **Mountain Class+**
* Violent Fragmentation (69 J/cc) = 2.885e19 Joules, **Island Class**
* Pulverization (214 J/cc) = 8.947e19 Joules, **Island Class**
* Vaporization (27050 J/cc) = 3.345e22 Joules, **Small Country Class**

**3) Cyprus Island**

* Surface Area = 9251km^2 (Check "Area")
* Radius = sqrt(Area/(Pi)) = Sqrt(9251000000m^2/(3.1416)) = 54265m, or ~**54.265km**

To destroy it:

* Near-Total Fatalities = 8.6e3 Megatons of TNT, or **8.6e9 Tons of TNT**.

* Divide the actual yield by 2, as only 50% of the energy of explosion is released as the actual explosion, thus we get a yield of 4300 Megatons of TNT, or 4.3 Gigatons of TNT. **Island Class**

## What Have We Learned?

* It takes around Small City Class to City Class amount of energy to destroy a small mountain, depending on how it is destroyed.
* It takes around Large Mountain Class to Island Class to destroy a large mountain, depending on how it is destroyed.
* Vaporizing an actual mountain requires a larger amount of energy than that is needed to turn it into pieces, considering that it takes a larger amount of energy to turn actual rock into steam rather than turning it into pieces.
* It takes **4.3 Gigatons of TNT** to destroy Cyprus Island.