From Internet;
Imagine a cylinder 20 inches high with a radius of 5 inches. To find the radius squared, multiply that number by itself, so 5 times 5 equals 25. Now multiply Pi by the radius squared: 3.14 times 25 inches equals 78.5 inches. Next, multiply 78.5 by the height (20 inches). The product is 1,570. Therefore, the volume of this cylinder equals 1,570 cubic inches.
(1 * 3.75 * 3.14 = 11.775)
Your Radius Squared, 1.875 * 1.875 = 3.515625
3.14 * 3.515625 = 11.0390625
11.0390625 * 1" = a volume of 11.0390625
The Volume of the Above cylinder is 11 Cubic Inches. 11 Cubic inches is 180.2 Ml or CC.
You need 1k cc for a 1 liter cavity, not 180 cc's.
Converting Cubic inches into Milliliters, Example. (Volume Multiplied by 16.387064.)
11 Cubic inches * 16.387064 is 180.257704 cc's of volume.
61 Cubic inches * 16.387064 is 999.610904 cc's or ML of volume.
Assuming your Container is 4" in Od, this would leave you with 3.75 ID, If your wall was 1/8th Thick. Just take your time to find your 1 liter cavity.
I'll post a schematic.