compute the volume of the following solid the base is a triangular region with vertices (0,0), (2,0), (1,1). Cross-sections perpendicular to the y-axis are equilateral triangles.

Answer 1

At y, the base has length 2-2y
and a triangle with side s has area √3/4 s^2
add up all the little triangles by integrating from y=0 to y=1