Consider the solid S described below. The base of S is the region enclosed by the parabola y = 2 - 2x2 and the x-axis. Cross-sections perpendicular to the x-axis are isosceles triangles with height equal to the base. Find the volume V of this solid.

Johnny rode his bike to a friends house 4 blocks down the street in his neighborhood. he immediately rode back home once he realized his friend was unable to play. what was his displacement for the total bike ride trip? what could you use as a reference point ? show the steps to solve this problem.