Use the Shell Method to Find the Volume of the Solid

question 162

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.
- $$x = \frac { 1 } { 6 } e ^ { 2 } , y = 0 , x = 0 , y = 1$$

• A) \(3 \pi \mathrm { e }\)
• B) \(\pi ( \mathrm { e } - 1 )\)
• C) \(\frac { \pi } { 6 } ( e - 1 )\)
• D) \(6 \pi ( e - 1 )\)

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Definitions:

Postwar Unity

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Franklin D. Roosevelt

The 32nd President of the United States, serving from 1933 to 1945, known for his leadership during the Great Depression and World War II.

G.I. Bill

Legislation passed in 1944 providing various benefits to returning World War II veterans, including low-cost mortgages, low-interest loans to start a business, cash payments for tuition and living expenses to attend college, high school, or vocational education.

Returning Soldiers

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