Final answer:
The deltoid muscle is the least desirable muscle to use for a 3 mL intramuscular injection because it has a smaller mass and is better suited for smaller volumes of medication.
Step-by-step explanation:
The least desirable muscle to use for the administration of a 3 mL intramuscular injection is the deltoid muscle. The deltoid muscle is located in the upper arm, and while it can be used for smaller volumes of medication, it is not well-suited for larger volumes like 3 mL. The deltoid muscle has a smaller mass compared to other muscles, such as the dorsogluteal, ventrogluteal, and vastus lateralis, which can accommodate larger volumes without causing discomfort or complications.