What is the volume of the solid generated by revolving the region bounded by the curve y=lnx, y=0, and the line x=e about the x-axis?

A) none
B) ∫₀¹ 2πy(e-e^(y))dy
C) ∫₁ᵉ π(e-lnx)dx
D) ∫₀¹ π(e-lnx)dx