Question

Find the volume of the solid obtained by rotating the region bounded by x=0 and x = 9-y^2 about the line x=-1

Answer 1

I think judging by the picture the way to go is the so-called 'washer method'
the graph of x=9-y^2 intersects the line x=0 at y=3 and y=-3, so those will be our bounds of integration

now for the radii...