Use Cylindrical Shells to Find the Volume of the Solid

question 150

Essay

Use cylindrical shells to find the volume of the solid that results when the region enclosed by y² = 2x and x = 8 is revolved about the line x = 11.

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Definitions:

Chyme

The semi-fluid mass of partly digested food that moves from the stomach to the small intestine.

Anabolism

The constructive part of metabolism concerned with the building up of complex molecules from simpler ones.

Catabolism

The breakdown of complex molecules within an organism to form simpler ones, together with the release of energy; destructive metabolism.

Gastroenterology

A branch of medicine focused on the digestive system and its disorders.