Almost all leagues are anything up to 2 3/4"
XL is the size they use a band that forms to your waist so they only have letter sizes
You can use Big barrel bats in middle school ball.
Look on the barrel to find out.
They use a official youth size football that you can find at any walmart or sporting good store
probably not
In Little League baseball, the maximum barrel size allowed for bats used in the Major League Baseball division (ages 9-12) is 2 1/4 inches in diameter. However, for the Intermediate (50/70) and Junior League divisions, players can use bats with a barrel size of up to 2 5/8 inches. Always check the specific league rules as they may vary slightly based on the divisions and local regulations.
There are over 60 kinds of barrel in use. You will have to specify WHICH barrel.
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It is marked on the barrel. If obscured, have it verifed by a gunsmith
Ages 13 and up
the barrel can be up to 2 3/4 at the thickest part.
The only rule for 14U Babe Ruth is the bat cannot be a youth Little League approved bat. In other words it must be a big barrel (2 5/8") bat. In 15U the bat must meet high school standards (-3).