Find the Volume of the Solid Generated by Revolving the Region

question 250

Multiple Choice

Find the volume of the solid generated by revolving the region about the given axis. Use the shell or washer method.
-The triangle with vertices (0, 0) , (0, 2) , and (5, 2) about the line x = 5

• A) \(\frac { 50 } { 3 } \pi\)
• B) \(\frac { 100 } { 3 } \pi\)
• C) \(\frac { 125 } { 3 } \pi\)
• D) \(\frac { 25 } { 3 } \pi\)

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Definitions:

Material

A substance or substances from which something is or can be made.

Nucleus

The cell's central organelle, containing most of its genetic material.

Cellular Activities

Various processes and reactions that occur within a living cell, crucial for the cell's survival and function, such as metabolism, protein synthesis, and cell division.

Control

In experimental settings, a standard condition against which the effects of a variable are compared.