# Shell Method

## Homework Statement

Have to find the volume using the shell method using the given curves

x=3y-y^2 and the y-axis about the x-axis

## Homework Equations

I know to use the equation V=2pi Integral y f(y) dy but no idea where to get the high and low limits for the integral

## The Attempt at a Solution

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Your typical volume element is $\Delta V = 2\pi*y*x*\Delta y$. Since you will be integrating with respect to y, you need to replace x in this formula with 3y - y^2. From the graph you can also get the limits of integration.