Find the Volume of the Solid Generated by Revolving the Region

question 153

Multiple Choice

Find the volume of the solid generated by revolving the region about the y-axis.
-The region in the first quadrant bounded on the left by $y = x ^ { 3 }$ , on the right by the line $x = 2$ , and below by the $x$ -axis

• A) \(4 \pi\)
• B) \(\frac { 32 } { 5 } \pi\)
• C) \(\frac { 64 } { 5 } \pi\)
• D) \(\frac { 96 } { 5 } \pi\)

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Definitions:

Aged

Refers to something or someone of advanced age; in statistics, it might relate to data or populations that are considered old or outdated.

Standard Deviation

A measure of the dispersion or variability within a dataset, indicating how much individual data points differ from the mean.

Numbers

Abstract symbols or concepts in mathematics that represent quantities or values.

Largest

Describes the item with the greatest size, value, or extent in a set or group of items.