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Find the Volume of the Solid Obtained by Rotating the Region

question 185

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Find the volume of the solid obtained by rotating the region bounded by the curves y=x2,y=0, and x=6y = \sqrt { x - 2 } , y = 0 , \text { and } x = 6 about the x-axis.


Definitions:

Autoerotic Asphyxia

A form of sexual masochism linking strangulation with masturbation.

Strangulation

The act of compressing the neck of a person, leading to potential unconsciousness or death due to the obstruction of blood flow and air to the brain.

Masturbation

The sexual stimulation of one's own genitals, often to the point of orgasm.

Sexual Sadism

A condition in which sexual pleasure is derived from causing pain, suffering, or humiliation to others.

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