Use the Shell Method to Find the Volume of the Solid

question 101

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 x-axis.
- $$x = 8 y ^ { 2 } , x = 8 \sqrt [ 3 ] { y }$$

• A) \(12 \pi\)
• B) \(\frac { 8 } { 3 } \pi\)
• C) \(\frac { 20 } { 7 } \pi\)
• D) \(\frac { 10 } { 7 } \pi\)

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Definitions:

Single Protein

A molecule composed of amino acids that performs a unique and specific function within the cell or organism.

Transcription Factors

Proteins involved in the process of converting, or transcribing, DNA into RNA, playing crucial roles in regulating gene expression.

Gene Expression

The process by which genetic instructions are used to synthesize gene products (proteins or nucleic acids), influencing an organism's structure and functions.

Transcription Factor

A protein that regulates the transcription of genes by binding to specific DNA sequences, thus controlling the flow of genetic information.