(Solved): help with questions 4&5 please. i willrate if answers are correct.  Use the shell method to ...

Use the shell method to set up and evaluate the integral that gives the volume of the solid generated by revolving the plane region about the \( y \)-axis. (Round your answer to three decimal places.) \[ \begin{array}{l} y=\frac{1}{\sqrt{2 \pi}} e^{-x^{2} / 5} \\ y=0 \\ x=0 \\ x=1 \end{array} \] LARCALC11 7.3.014. Use the shell method to write and evaluate the definite integral that represents the volume of the solid generated by revolving the plane region about the \( x \)-axis.