Find the Volume of the Solid Generated by Revolving the Region

question 14

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 $x = - 4$

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Definitions:

Identity

The qualities, beliefs, personality traits, appearance, and/or expressions that make a person (self-identity) or group (particular social category or social group).

Excited About Future

Feeling of enthusiasm or eagerness for what is to come or what may happen.

Harsh Verbal Discipline

The use of aggressive or demeaning language by a parent or caretaker towards a child, which can negatively affect the child’s self-esteem and behavior.

Early Childhood

The period of a child's life from birth to the age of eight, focusing on holistic development including physical, cognitive, and social-emotional growth.