Find the Volume of the Solid Generated by Revolving the Region

question 8

Multiple Choice

Find the volume of the solid generated by revolving the region about the y-axis.
-The region in the first quadrant bounded on the left by $y = x ^ { 3 }$ , on the right by the line $x = 4$ , and below by the $x$ -axis

• A) \(\frac { 3072 } { 5 } \pi\)
• B) \(64 \pi\)
• C) \(\frac { 1024 } { 5 } \pi\)
• D) \(\frac { 2048 } { 5 } \pi\)