Find the Volume of the Solid Generated by Revolving the Shaded

question 14

Multiple Choice

Find the volume of the solid generated by revolving the shaded region about the given axis.
-About the $x$ -axis

$y = 16 - x ^ { 2 }$

• A) \(\frac { 13312 } { 15 } \pi\)
• B) \(\frac { 13312 } { 5 } \pi\)
• C) \(\frac { 128 } { 3 } \pi\)
• D) \(\frac { 8192 } { 15 } \pi\)

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Definitions:

Self-actualization

The realization or fulfillment of one's talents and potentialities, considered as a drive or need present in everyone; the highest level of psychological development in Maslow's hierarchy of needs.

Angst

A profound and deep-seated feeling of dread, anxiety or anguish often associated with the existential concerns of human freedom and responsibility.

Construal

An individual’s particular experience of the world or way of interpreting reality.

Consciousness

The state or quality of awareness or of being aware of an external object or something within oneself.