Accepted answer
It gives 6.67 mg/mL, and whether that is sensible depends on the dose you will draw from it. 10 ÷ 1.5 = 6.67 mg/mL in 0.9% sodium chloride. A 0.5 mg dose is then 7.5 units on a U-100 barrel and a 1 mg dose is 15 units. Both land in a readable part of the barrel, which is the whole point of choosing the volume deliberately.
Answering this needs the syringe you actually own, because the barrel graduations decide what "readable" means.
The other direction: 10 mg in 3 mL is 3.33 mg/mL, and a 0.5 mg dose becomes 0.15 mL, or 15 units. More barrel, easier reading, and a larger fraction of the vial volume lost to dead space across the same number of draws.
Put another way, content matters. If the same 10 mg vial assays at 94 per cent content, you have 9.4 mg. In 2 mL that is 4.7 mg/mL, and a nominal 0.5 mg draw of 10 units actually delivers 0.47 mg — a six per cent shortfall that no amount of careful drawing will fix.
Insulin syringe barrel graduations are typically 1 unit on a 0.3 mL barrel, 1 unit on a 0.5 mL barrel and 2 units on a 1 mL barrel, which is why the barrel size changes what is readable.
A concentration calculated to three decimal places from a diluent volume measured to one is false precision.
Write the concentration on the label at reconstitution, in units per dose.