Use the Shell Method to Find the Volume of the Solid

question 5

Multiple Choice

Use the shell method to find the volume of the solid generated by revolving the shaded region about the indicated line.
-About the line $y = - 1$

• A) \(\frac { 2048 } { 15 } \pi\)
• B) \(\frac { 7168 } { 15 } \pi\)
• C) \(\frac { 2368 } { 15 } \pi\)
• D) \(\frac { 1184 } { 15 } \pi\)

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Definitions:

Calvin-Benson Cycle

A series of biochemical reactions taking place in the stroma of chloroplasts in photosynthetic organisms, pivotal in converting carbon dioxide into glucose.

Cyclic Pathway

A series of biochemical reactions that return to the starting point, recycling intermediates and driving cellular processes.

Noncyclic Reactions

A phase of photosynthesis that involves a linear electron flow resulting in the production of oxygen, ATP, and NADPH as opposed to cyclic reactions where only ATP is produced.

Carbon Fixation

The process by which inorganic carbon (carbon dioxide) is converted into organic compounds by living organisms, primarily during photosynthesis.