Diagnosis
The drum spins but no heat almost always points to a failed thermal fuse or a blown heating element. On these Maytags, the thermal fuse is a common fail-safe—it's a one-time fuse that pops if the dryer overheats, and it breaks the circuit to the heater.
How to Fix It
Unplug the dryer. Access is from the back panel. Remove the two screws at the top corners of the rear panel and slide it off. You'll see the cylindrical heating element housing. The thermal fuse is a small, rectangular white component with two wires, usually clipped to the housing. Test it for continuity with a multimeter. If it has no continuity, it's blown and needs replacement (part number is often 279640).
If That Didn't Work
If the thermal fuse is fine, test the heating element itself for continuity. A broken coil inside the element means it needs replacing. Also, while you're back there, check that the wires to the element and fuse aren't loose or burnt.
Heads Up
A blown thermal fuse is usually a symptom of a restricted airflow. Before you replace it, thoroughly clean the lint filter, the exhaust duct, and the interior venting. If airflow is blocked, the new fuse will just blow again.