Find the volume of the solid obtained by rotating the region bounded by y=x^3, y=1, and the y-axis and whose cross-sections perpendicular to the y axis are equilateral triangles.

Question

I asked this same question for the y-axis around the x-axis (Thanks for the explanation) but I don't get how to solve this one either.

Answer 1

I get 2(sqrt3/2)(1-(3/4)1^(4/3))

But that's not the answer.