Find the Volume of the Solid Generated by Revolving the Region

question 138

Multiple Choice

Find the volume of the solid generated by revolving the region about the given axis. Use the shell or washer method.
-The region bounded by $y = 3 x - x ^ { 2 }$ and $y = x$ about the $y$ -axis

• A) \(\frac { 8 } { 3 } \pi\)
• B) \(4 \pi\)
• C) \(2 \pi\)
• D) \(\frac { 4 } { 3 } \pi\)