to laymans what Drive safe was getting at....
for the battery
A deep cycle battery has a lot of acid and not a lot of surface area to the lead plates. The concentration of the acid is what gives you the volts (more or less) so a lot of acid with a small plate in it will produce X volts for a very long time but cant push a lot of amps because theres isnt the "reaction surface area" on the plates.
A Cranking battery has just enough acid in it and a LOT of surface area on the plates. Because the plates have so much surface there is a lot of area for the chemical reactions that make volts to occour so they can push a lot of amps. however because there isnt as much acid the concentration of the acid drops very quickly.

