Mountain and Island Level Guide

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

###

### Fragmentation: Mountain Level

* (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 level 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 level via violent fragmentation.

### Pulverization: Mountain Level

* (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 level via pulverization.

### Vaporization: Mountain Level

* (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 level via vaporization.

For a minimum size of a mountain to have **Small Island Level** yield at minimum via:

### Fragmentation: Small Island Level

* (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 Small Island level via fragmenting it.

### Violent Fragmentation: Small Island Level

* (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 Small Island level via violent fragmentation.

### Pulverization: Small Island Level

* (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 Small Island level via pulverization.

### Vaporization: Small Island Level

* (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 Small Island level 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 level** yield at minimum via:

### Fragmentation: Island Level

* (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 Level** 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 Level** values fragmenting it.

### Violent Fragmentaton: Island Level

* (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 Level** 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 Level** values via violent fragmentation.

### Pulverization: Island Level

* (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 level** 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 Level** 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 Level** 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/Small Island/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.

### Small Island 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 Small Island 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.