Find the volume V of the described solid S. The base of S is the region enclosed by the parabola y = 4 − 3x2 and the x−axis. Cross-sections perpendicular to the y−axis are squares.

Jack has a rectangular piece of land, the area of which is represented by a1 = 9.5l. his brother has a different rectangular piece of land, the area of which is represented by a2 = l(14 − l). let a represent the area in square meters and l represent the length in meters of the pieces of land. the two equations plotted on a graph meet at a point as shown in the image