Use the Method of Cylindrical Shells to Find the Volume $y=x^{2}, y=0, x=1, x=4 ; \text { about } x=1$

Multiple Choice

Use the method of cylindrical shells to find the volume of solid obtained by rotating the region bounded by the given curves about the x-axis. $y=x^{2}, y=0, x=1, x=4 ; \text { about } x=1$

A) $\frac{255 \pi}{2}$
B) $3413 \pi$
C) $1020 \pi$
D) $\frac{2 \pi}{255}$
E) $255 \pi$