1. ## Volume by rotation

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis
y=0, y=x(1-x), about the axis, x=0

I have the graph, but this seems to be missing something. I assume it is around the x axis but what would my bounds be since x=0?

I am sure this is simple, but I 'm not seeing it.

2. use shell method

$dV=2\pi xydx$

$=2\pi x (x(1-x)) dx$

integrate it from $x=0$ to $x=1$

3. Thank you very much, got the answer correct.