Find the Volume of the Solid Generated by Revolving the Region

question 54

Multiple Choice

Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the indicated line.
$y = 4 - x ^ { 2 } , y = 0 ;$ the line $y = 6$

• A) \(\frac { 704 } { 15 } \pi\)
• B) \(\frac { 1408 } { 15 } \pi\)
• C) \(\frac { 2816 } { 15 } \pi\)
• D) \(\frac { 1408 } { 5 } \pi\)

---

Definitions:

Lever Press

A method used in experimental psychology to measure an animal's behavior, particularly in operant conditioning, by recording the frequency of lever pressing by the subject.

Behaviorism

A theory in psychology that emphasizes the study of observable behaviors over internal phenomena such as thoughts and feelings.

Classical Conditioning

A learning process in which an innate response to a potent stimulus becomes triggered by a previously neutral stimulus after repeated association.

Operant Conditioning

A learning method that occurs through rewards and punishments for behavior, encouraging the occurrence of desired behaviors.