Find the Volume of the Solid Obtained by Rotating the Region

question 59

Multiple Choice

Find the volume of the solid obtained by rotating the region bounded by $y = x$ and $x = y ^ { 3 }$ about the $x$ -axis.
Select the correct answer.

• A) \(16 \pi\)
• B) \(\frac { 7 } { 2 }\)
• C) \(\frac { 4 } { 15 } \pi\)
• D) \(\frac { 18 } { 35 }\)
• E) \(\frac { 16 } { 7 } \pi\)

---

Definitions:

Cognitive Dissonance

The mental discomfort experienced when holding two or more conflicting beliefs, values, or attitudes.

Disagreeable Orders

Commands or instructions given that are unpleasant or undesirable to follow.

Dissect a Cat

The process of carefully cutting into and examining a cat's body, usually for scientific or educational purposes.

Attribution Theory

A concept in psychology that describes how individuals infer the causes of their own and others' behavior.