Find the Volume of the Solid Obtained When the Region $y = x ^ { 3 }$

question 52

Multiple Choice

Find the volume of the solid obtained when the region bounded by the curves $y = x ^ { 3 }$ , $x = 1$ , and the x-axis is rotated about the line x = - 1.

• A) \(\frac { 127 \pi } { 3 }\)
• B) \(\frac { 62 \pi } { 3 }\)
• C) \(\frac { \pi } { 2 }\)
• D) \(\frac { \pi } { 4 }\)
• E) \(\frac { 2 \pi } { 5 }\)
• F) \(\frac { \pi } { 5 }\)
• G) \(\frac { 9 \pi } { 10 }\)
• H) \(\frac { 31 \pi } { 3 }\)

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