[Solved] Use the method of cylindrical shells to find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the indicated axis. Sketch the region and a representative rectangle. \(y = \sqrt { 16 - x ^ { 2 } } , y = - x + 4 ;\) the \(y\)-axis Protein Degradation: The process by which proteins are broken down into their amino acid components, often regulated by cellular mechanisms for metabolism and homeostasis. CAP: Catabolite Activator Protein, a regulatory protein in bacteria that helps facilitate the transcription of genes in response to the presence of certain sugars. Lac Operon: A gene regulatory mechanism in bacteria that controls the metabolism of lactose. Rate of Transcription: The speed at which RNA polymerase produces RNA molecules from a DNA template, affecting gene expression.