Calculus

The following are about an infinite region in the 1st quadrant between y=e^-x and the x-axis.

B)Find the volume of the solid generated by revolving the region about the y-axis

Part A was solved below. Does anyone know how to do Part B?

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  1. using discs, we have

    v = ∫[0,∞] πe^(-2x) dx
    = π/2

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