Find the Volume of the Solid Generated by Revolving the Region

question 111

Essay

Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the indicated line. Sketch the region and a representative rectangle.
$y = 16 - x ^ { 2 } , y = 0$ ; the line $x = - 4$

---

Definitions:

Curly Hair

A type of hair texture characterized by a helical or spiral shape, resulting from the asymmetrical distribution of keratin fibers.

Wavy Hair

Hair that has a texture that lies between straight and curly, characterized by an S-shaped pattern.

Black Coat

A reference to animals or organisms with predominantly dark-colored fur or external covering, often due to genetic variations.

Genotype

The genetic constitution of an individual organism, determining specific characteristics when interacting with the environment.