Limits of integration & please check my work so far?

[floralcloud]

I am having trouble finding my limits of integration. First of all, I am trying to find the volume of a solid that has the cross sections in the shape of equilateral triangles of a function.
My equation is x2 + y2 = e2, so on a graph it would make a circle shape, right?
I will find the volume by finding the integral of the equation of the area of these cross sections.
Area of a triangle = 1/2bh
b = 2√e2-x2
h = √3√e2-x2

So the equation for the volume would be
√3∫-ee (√e2-x2)(√e2-x2) dx

or √3∫-ee e2- x2dx

right?

but how would I put e and -e into my calculator and find the limits of integration? Unless I have my limits wrong, or the whole thing wrong.

Any help would be greatly appreciated, thanks in advance!