Find the Volume of the Solid Generated by Revolving the Region

question 241

Multiple Choice

Find the volume of the solid generated by revolving the region about the given line.
-The region in the first quadrant bounded above by the line $y = 3$ , below by the curve $y = \sqrt { 3 x }$ , and on the left by the $y$ -axis, about the line $y = 3$

• A) \(\frac { 27 } { 2 } \pi\)
• B) \(\frac { 27 } { 5 } \pi\)
• C) \(3 \pi\)
• D) \(\frac { 9 } { 2 } \pi\)

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Definitions:

Therapeutic Alliance

The collaborative bond and relationship between a therapist and client, seen as crucial for effective therapy and client progress.

Psychodynamic Therapies

Treatments that stress the importance of the unconscious mind, extensive interpretation by the therapist, and the role of early childhood experiences in the development of an individual’s problems.

Unconscious Mind

A part of the mind that influences thoughts and actions without one's awareness, according to Freudian psychology.

Psychodynamic Therapy

A therapeutic approach focusing on unconscious processes as they are manifested in a person's present behavior, with an aim to resolve past conflicts and improve psychological functioning.