Use the Disk or the Shell Method to Find the Volume

question 71

Multiple Choice

Use the disk or the shell method to find the volume of the solid generated by revolving the region bounded by the graphs of the equations $y = 2 x ^ { 3 } , y = 0 , x = 3$ about the $x$ -axis.

• A) \(\frac { 8,748 \pi } { 7 }\)
• B) \(\frac { 4,374 \pi } { 5 }\)
• C) \(\frac { 162 \pi } { 5 }\)
• D) \(\frac { 162 \pi } { 7 }\)
• E) \(\frac { 54 \pi } { 7 }\)

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