Use the Shell Method to Find the Volume of the Solid

question 60

Multiple Choice

Use the shell method to find the volume of the solid generated by revolving the region bounded by the given curves and
lines about the y-axis.
- $$y = 2 x ^ { 3 } , y = 2 x \text {, for } x \geq 0$$

• A) \(\frac { 2 } { 15 } \pi\)
• B) \(\frac { 4 } { 15 } \pi\)
• C) \(\frac { 8 } { 15 } \pi\)
• D) \(\frac { 4 } { 5 } \pi\)

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Definitions:

Mental Disorders

Conditions characterized by alterations in thinking, mood, or behavior associated with distress and/or impaired functioning.

Community-Based Facilities

Local centers or organizations that offer services and support to members of a community, often aimed at improving health, education, and welfare.

Family System

A theoretical framework in psychology that considers the family as an emotional unit interconnected and influencing individual behaviors and relationships.

Psychological Problems

Issues or disorders that affect an individual's mental health, influencing their thoughts, emotions, and behaviors.