Find the Volume of the Solid Generated by Revolving the Region

question 40

Multiple Choice

Find the volume of the solid generated by revolving the region about the y-axis.
-The region enclosed by $x = 2 \tan \frac { y } { 5 } , x = 0 , y = - \frac { 5 \pi } { 4 }$

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

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Definitions:

Dominant

Refers to a trait that overshadows another when both are present, or an individual/group that exerts power over others in a given context.

Recessive

Describing a gene that is expressed in the phenotype only when two copies of the gene (one from each parent) are present.

Color-Blindness

A visual condition where an individual has difficulty distinguishing between certain colors, typically involving reds, greens, and blues.

X Chromosome

One of the two sex chromosomes, XX typically resulting in female characteristics and XY in male, playing a crucial role in genetic determination of sex.