I know for sure that somebody will say: but there are programs for it on the net. Aren’t there? Yes there are!
But I am an oldfashioned techie who used to calculate things without an electronic device.
So what size should be the diameter D of a hole where you can put in three (equal sized) smaller cylinders (batteries).
Using a ruler and a pair of compasses I come to: D = d * (1+2/√3) ……or…… D = d * 2.1547
where d is the diameter of the smaller circle/cylinder (the AAA battery measures 10.5mm or 0.41in)
So I’m pretty sure it will fit. (after removing the sleeve
)