# How do you find the volume of the solid generated by revolving the region bounded by the curves #y=2x^2 -x^3# and y = 0 rotated about the y-axis?

##### 1 Answer

This is what you will be revolving.

graph{2x^2 - x^3 [-0.1, 10, -0.3, 5]}

What we could do here is use the shell method, which is far more convenient in this case than the traditional revolution method.

where:

Now where is the x-intercept? We can see it's

So we have: