The Volume of the Solid Obtained by Rotating the Plane $y = x ^ { 4 } , y = 1 , \text { and } x = 0$

Multiple Choice

The volume of the solid obtained by rotating the plane region enclosed by $y = x ^ { 4 } , y = 1 , \text { and } x = 0$ about the y-axis is

A) $\pi$
B) $\frac { 2 \pi } { 3 }$
C) $\frac { \pi } { 2 }$
D) 0
E) $\frac { \pi } { 3 }$
F) $\frac { 4 \pi } { 3 }$
G) $\frac { \pi } { 6 }$
H) 1