Use the shell method to find the volume of the solid generated by revolving the region bounded by the given curves and
lines about the x-axis.
-$$x = 4 e ^ { - y ^ { 2 } } , y = 0 , x = 0 , y = 1$$
A) $8 \left( 1 + \frac { 1 } { \mathrm { e } } \right) \pi$
B) $4 ( e - 1 ) \pi$
C) $4 \left( 1 - \frac { 1 } { \mathrm { e } } \right) \pi$
D) $8 \left( 1 - \frac { 1 } { \mathrm { e } } \right) \pi$

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The Answer of Use the shell method to find the volume of the solid generated by revolving the region bounded by the given curves and
lines about the x-axis.
-$$x = 4 e ^ { - y ^ { 2 } } , y = 0 , x = 0 , y = 1$$
A) $8 \left( 1 + \frac { 1 } { \mathrm { e } } \right) \pi$
B) $4 ( e - 1 ) \pi$
C) $4 \left( 1 - \frac { 1 } { \mathrm { e } } \right) \pi$
D) $8 \left( 1 - \frac { 1 } { \mathrm { e } } \right) \pi$

Use the Shell Method to Find the Volume of the Solid