You gotta think in terms of cross sectional area, not diameter. (pi*r^2)
If noise is a concern in the least, I would second Johnny's suggestion to consider a custom box with a Herbie or beananimal style overflow. GH overflows are nicely made, perform well, and can be kinda quiet if you tune them carefully, but a Herbie or Bean can be 100% completely, utterly, DEAD silent. It's a night and day thing.