Take it to a good gunshop for assistance. This is more than one type of 32 caliber ammunition.
Have it checked out by a gunsmith to be certain.
Model 32 is one.
It would almost certainly be chambered in .32 S&W Long.
can you show me a picture of my .32 cal. Smith & Wesson hammerless revolver serial #182202
You will have to call S&W with the sn to find out.
It will depend on the firearm and the exact markings on the barrel.
Let's use the correct terms- BULLETS are the part of a CARTRIDGE that come out of the barrel. .32 Cartridges are now centerfire, but many years ago were rimfire. .32 rimfire guns have not been made in about the past 100 years, and are considered obsolete. There are also several DIFFERENT .32 centerfire cartridges- .32 Auto, .32 S&W revolver, .32 Long, .32-20 revolver, etc.
For a Smith and Wesson revolver in stainless steel that shoots short bullets, you might need a 380 caliber pistol or a S&W 32 caliber revolver.
Need a detailed description of ALL markings.
A .32 S&W Long revolver can fire the .32 S&W Long and the shorter .32 S&W cartridges. It is not compatible with any other .32/6.35mm cartridge.
You would need to include the make of your revolver along with the serial number to have any hope of answering your question correctly.
32-20. Does not interchange with other .32s. Good cartridge, good revolver.