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2. Volume (a) Compute volume of the solid whose base is a triangular region with vertices...

2. Volume

(a) Compute volume of the solid whose base is a triangular region with vertices (0,0), (1,0), and (0,1), and whose cross-sections taken perpendicular to the y -axis are equilateral triangles.

(b) Compute the volume of the solid formed by rotating the region between the curves x=(y-3)^2 and x = 4 about the line y =1

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