I'm currently sourcing Li-Po batteries and need to find an average mAh per cm3 to implement it into my product. From what I read (wikipedia), the energy density of Li-Po ranges from 250 to 730 W.h/L
I also read that : $$Q(mAh) = E(Wh) x 1000 / V(v)$$
What I did (be careful, you might facepalm), in order to get a mAh/cm3 value for a 3,7v battery was :
N.B : I didn't really understand the "W.h/L" unit, I expected it to mean W.h-1.L-1
$$Q(mAh)/L = (E(Wh) x 270.27 ) / L$$
Which gave me, assuming the energy density was 750 W.h/L :
$$Q (mAh/L) = E (Wh/L) x 270.27 $$
$$Q (mAh/L) = 197297.1 $$
I then converted this to cm3, considering 1dm3 = 1L :
$$Q (mAh/cm3) = 197.297 mAh/cm3$$
The lower value gives me $67.56 mAh/cm3$
Is this calculation correct ? I tried to check this, by comparing the common sizes of Li-Po batteries on the market. I have results ranging from $50$ mAh/cm3 to $110$ mAh/cm3 for these, which looks normal.
If it correct, how come I didn't find any Li-Po battery, which goes over $110$ mAh/cm3 on the market ?
I guess this belongs to physics, as it deals with unities and energy. I din't practice maths and physics for a very long time now, so I might have just made something stupid :-)
Thank you very much for your help.