After watching the show for the third time, showing it to my little brother for the first time, he posed the question that put me for a spin. "Just how powerful is Benimaru's Black Ogre Flame?"

To solve this, I when the Death Battle route of using visual analysis and bomb-scale energy equations to determine the total Joule output of one blast.

By taking G.I. Taylor's atomic bomb yield equation

> r = (p^x)(E^y)(t^z)

And re-configuring it to solve for energy.

> ( r / [ (p^x)(t^z) ] )^(1/z)= E

Using the pre-determined, verified fractional exponents for *x*, *y*, and *z*, all I have left is to slap in p, r, and t.

'*p*' is simply the average air density. A quick google search pulls up **1.225 kg/m^3 **at sea level. Considering the battle I'm using for reference takes place in wetlands, I'd say that cuts down error.

'*t*' is the next to solve. In episode 16 "The one who devours all" we can see that Benimaru's explosion takes almost exactly **1 second **to expand as it engulfs the Demon Lord Geld in the climax of the fight.

Finally, the hard part. To solve for '*r*', I went and got reference images from the anime. There are two frames were you can see the remains of the Ogre Flame fading, we can use that to draw a full circle. In a close frame, Ranga's lightning forces Geld upright, giving us a perfect outline of Geld to act as a reference to determine the explosion radius.

Sadly, this wiki does not have a cannon height of the Demon Lord Geld, the Orc Disaster. So, being the over-annalist that I am, I found a frame of Shion and Geld standing side-by-side. Shion has a cannon height of 170cm. Using some fancy-ass measurements (Shion being 359.26px vs Geld being 990.38px) I found Geld to be 468.64cm.** **

Using a composite of the images showing Geld in the explosion, I measured Geld at 725px and the radius of 1006px. This means the radius of the explosion was **650.28cm**. Finally, we've solved for '*r*'.

Back to the original equation. We put in all the numbers

*r = 6.5 m*

*p = 1.225 kg/m^3*

*t = 1 sec*

> ( 6.5 / [ (1.225^-0.2)(1^0.4) ] )^(1/0.2)= E

Finally, the total energy released by the smallest blast of Black Ogre Flame we see is** 14,213.56 Joules!!**

Now what does this number mean? Well, surprisingly, not a lot. 14 kJ is worth almost *3350 calories*, or almost 150% your recommended calorie intake, or **SIX **McDonalds Big Macs.