I have a flat tire that won't hold air.
Radial tires usually will hold some kind of air as long as the object that caused the puncture is left in the tire. If removed then yes, the tire will most certainly go flat right away. Radial tires can usually be patched if it is a puncture in the center area of the tread. If it is a cut, or the puncture is close to the sidewall, then the tire will need to be replaced. A tire shop should be able to help you determine what needs to be done to remedy the situation.
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