Use the Shell Method to Set Up and Evaluate the Integral

Multiple Choice

Use the shell method to set up and evaluate the integral $y = 3 \sqrt { x } \text { that gives the }$ volume of the solid generated by revolving the plane region about the y-axis.

A) $\frac { 192 \pi } { 5 }$
B) $\frac { 384 \pi } { 7 }$
C) $\frac { 192 \pi } { 7 }$
D) $\frac { 384 \pi } { 5 }$
E) $\frac { 96 \pi } { 5 }$