Find the Volume of the Solid Generated by Revolving the Shaded

question 79

Multiple Choice

Find the volume of the solid generated by revolving the shaded region about the given axis.
-About the $y$ -axis
$x = 2 \tan \left( \frac { y } { 5 } \right)$

• A) \(20 \pi\)
• B) \(10 \pi ^ { 2 } + 5 \pi\)
• C) \(10 \pi ^ { 2 } - 20 \pi\)
• D) \(5 \pi ^ { 2 } - 10 \pi\)

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Definitions:

Proactive Interference

A phenomenon where older memories interfere with the recall of newer memories, a form of cognitive interference that can impede learning and memory retention.

Semantic Codes

A type of cognitive encoding that involves the storage of information in memory according to its meaning rather than the sound or vision of it.

STM Loss

Short-Term Memory loss; a condition where an individual has difficulty retaining recent information over short periods.

Decay Theory

The hypothesis that memories fade or are lost over time as a result of the mere passage of time, leading to forgetting.