Find the Volume of the Solid Generated by Revolving the Region

question 140

Multiple Choice

Find the volume of the solid generated by revolving the region about the given axis. Use the shell or washer method.
-The region bounded by $y = 5 \sqrt { x } , y = 5$ , and $x = 0$ about the line $y = 5$

• A) \(\frac { 25 } { 6 } \pi\)
• B) \(\frac { 25 } { 3 } \pi\)
• C) \(\frac { 25 } { 12 } \pi\)
• D) \(\frac { 25 } { 2 } \pi\)

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Definitions:

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Cells that have a limited capacity to divide and differentiate into various cell types, playing a key role in the development, growth, and repair of tissues.

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The precursor in embryonic development that eventually forms the central nervous system including the brain and spinal cord.

Neurogenesis

The procedure through which the brain creates new nerve cells.

Neuron Maturation

The developmental process by which neurons undergo growth and changes to achieve functional maturity, including synaptic development and axonal growth.