Reply to "Diameter of vacuum booster tube inder the car"

If you use a rubber heater hose it can collapse, sure.
If you use an "aeroquip" type -10, braided stainless fabric ovewr rubber, no it will not.
It is actually an easier installation to use about 48" long of tubing with hose on either end.

There is already a provision in the chassis, bulkheads, for the tube to run through and be supported just like the radiator tubes are.

Hose of the same size is larger OD then the tube because 5/8" hose is 5/8" ID, inside diameter.
Tube size is designated by the OD of the tube. Pipe, which we are not talking about here is designated by the size of the hole in the pipe, ID.

Almost all automotive applications are tube size, including exhaust tubing.

Hose is intended to fit over tubing, not pipe. Therefore the inside diameter of a 5/8 hose will be 5/8" (+/-). The OD of a 5/8" hose is going to be around 1". Therefore it isn't going to fit through the holes provided by Detomaso through the bulheads for 5/8" tube.

On A/N hose (army/navy) sizes are designated in dash sizes. Every dash increment is equal to 1/16". A dash size such as a -10 is stating that the hose is 10/16" or 5/8"

When someone says use a -10 hose it is an A/N specification hose 5/8" inside diameter.

I hope this helps, even though it might not have been what you are asking for.