Use the Shell Method to Find the Volume of the Solid

question 47

Multiple Choice

Use the shell method to find the volume of the solid generated by revolving the plane region about the line $x = 12$ .
$y = \sqrt [ 3 ] { x } , y = 0 , x = 8$

• A) \(V = \frac { 1,249 } { 7 } \pi\)
• B) \(V = \frac { 156 } { 7 } \pi\)
• C) \(V = \frac { 1,248 } { 7 } \pi\)
• D) \(V = \frac { 312 } { 7 } \pi\)
• E) \(V = \frac { 624 } { 7 } \pi\)

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