Find the Volume of the Solid Generated by Revolving the Region

question 184

Multiple Choice

Find the volume of the solid generated by revolving the region about the given line.
-The region in the first quadrant bounded above by the line $y = 3 x ^ { 3 }$ , below by $x$ -axis, and on the right by the line $x = 1$ , about the line $y = - 1$

• A) \(\frac { 39 } { 7 } \pi\)
• B) \(\frac { 39 } { 14 } \pi\)
• C) \(\frac { 27 } { 14 } \pi\)
• D) \(\frac { 16 } { 7 } \pi\)

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