Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the x-axis.

Question

Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the x-axis.

y = e^−2x

y = 0

x = 0

x = 3

Answer 1

By Disk Method volume V = π∫₀³e^-4xdx = -π/4e^-4x₀³ = π(1 - e^-12)/4 = 0.7853933377