Use the Shell Method to Find the Volume of the Solid

question 61

Multiple Choice

Use the shell method to find the volume of the solid generated by revolving the plane region bounded by
$y = 4 x ^ { 2 } , y = 10 x - x ^ { 2 }$ , about the line $x = 2$

• A) \(\frac { 40 \pi } { 3 }\)
• B) \(\frac { 80 \pi } { 3 }\)
• C) \(40 \pi\)
• D) \(20 \pi\)
• E) \(\frac { 20 \pi } { 3 }\)

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Definitions:

Light

Electromagnetic radiation within a certain portion of the electromagnetic spectrum, perceived by the human eye and responsible for the sense of sight.

Christopher Wren

An English architect who is recognized for his role in rebuilding London after the Great Fire of 1666, notably designing St. Paul's Cathedral.

Palladian

Referring to a style of architecture inspired by the works of the Venetian architect Andrea Palladio, characterized by symmetry and classical forms.

Saint Paul's

A renowned Anglican cathedral in London, England, famous for its dome, designed by Sir Christopher Wren.