That would depend on how many drainage fixture units you want to drain and which LOCAL code your using.
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Approx 904.8 cubic inches.
A fitting that makes it possible, for example, to glue a piece of 2" pipe into a 3" fitting (if you have a 3" x 2" bushing, that is).
In what material ?
If the line is outside, sloping will prevent the risk of freezing/braking if there is not water in the line! Inside, it just prevents risk of drips and bacteria growing in what could be stagnant water.
By calculating the areas of circles with diameters 6 and 4 and comparing those: pi3^2=pi9 pi2^2=pi4 pi9/pi4=9/4=2.25 So the 6 inch pipe holds 2.25 times as much as the 4 inch pipe.