Muir, you forgot to divide the diameter in half before doing your calculations as it is radius squared for the volume of a cylinder. And if we wanted to go crazy with technicalities, that is the space that the bottle takes up (roughly .66 cu/in) , depending upon the thickness of the glass, the volume inside would be less. Sorry, math/geometry nerd here.
The link that the OP provided roughly matches the same diameter as a half ounce plastic bottle from Taps Plastic in my link above (1.5" tall, 7/8th of an inch diameter). If you cut the threads off at the cap stop and put a cork into it (that you can find at most hobby shops) it looks pretty good. Below is a pic of the half ounce with threads and an ounce bottle without and with a cork. I used to use these all the time as they do not shatter, snap or break, they just bend. So even being an eighth of an inch wider, they'll probably squeeze fit into what you need. They are a little milky/translucent than glass but can't beat them for their shape in safety.
During a short google search, I was unable to find a half ounce clear plastic bottle of the same size. However, if the one ounce bottles will work (see my previous post for the dimensions., below is a link to a clear version from another manufacturer.
You can also search online for a half ounce clear plastic Boston round bottle (never knew it had a style name, learn something every day) and might find something else that works. I found this one by including the PET for the plastic as they seem to be both the milky white as well as clear.
That's about all the help I can give you.
https://www.containerandpackaging.com/products/174/vaping-style-plastic-bottles/B822