Use the shell method to set up and evaluate the integral that gives the volume of the solid generated by revolving the plane region bounded by $y = \frac { 1 } { \sqrt { 3 \pi } } e ^ { - x ^ { 2 } / 3 } , y = 0 , x = 0$, and $x = 3$ about the $y$-axis. Round your answer to three decimal places.
A) $5.987$
B) $0.561$
C) $2.047$
D) $0.972$
E) $2.917$

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The Answer of Use the shell method to set up and evaluate the integral that gives the volume of the solid generated by revolving the plane region bounded by $y = \frac { 1 } { \sqrt { 3 \pi } } e ^ { - x ^ { 2 } / 3 } , y = 0 , x = 0$, and $x = 3$ about the $y$-axis. Round your answer to three decimal places.
A) $5.987$
B) $0.561$
C) $2.047$
D) $0.972$
E) $2.917$

Use the Shell Method to Set Up and Evaluate the Integral