Find the volume of the resulting solid. The region bounded by $y= e^{-x}$, y=0 and x=0 is revolved about x-axis.

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Find the V of the solid.

bounded by $y= e^{-x}, $y=0 and x=0 is rev about x-axis.

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Using the Disk/Ring Method we obtain: $V=\int A(x)dx$ where A(x) is the cross-sectional area of the solid. The area is $\pi(radius)^2$. The radius is $y=e^{-x}$. Consider where x is ranging from and solve the integral