Find the Volume of the Solid Obtained by Rotating the Region

question 94

Short Answer

Find the volume of the solid obtained by rotating the region bounded by $y=2 x^{3}$ and $x=y^{3}$ about the line $x=-2 \text {. }$

---

Definitions:

Carl Jung

A Swiss psychiatrist and psychoanalyst who founded analytical psychology, focusing on concepts such as the collective unconscious and archetypes.

Carl Rogers

An influential American psychologist who founded the humanistic approach to psychology focusing on individual potential for growth and the importance of free will.

Monoamine Oxidase Inhibitors

A type of antidepressant medication that works by inhibiting the activity of certain enzyme systems in the brain, increasing levels of neurotransmitters.

Tyramine

A naturally occurring monoamine compound found in certain foods that can affect blood pressure and is particularly relevant for individuals taking MAOI antidepressants.