The organelle responsible for degrading waste within a cell is the lysosome.

Here's why:

* Lysosomes are membrane-bound organelles that contain powerful enzymes capable of breaking down various cellular waste products, worn-out organelles, and even invading bacteria or viruses.

* They act like the "recycling center" of the cell, ensuring that cellular debris is properly disposed of and its components are recycled.

Let me know if you'd like more information about lysosomes or other organelles!