Chapter 6.1, Problem 1E

Find the volumes of the solids in Exercises 1−10.

1. The solid lies between planes perpendicular to the x-axis at x = 0 and x = 4. The cross-sections perpendicular to the axis on the interval 0 ≤ x ≤ 4 are squares whose diagonals run from the parabola $y=-\sqrt{x}$to the parabola $y=\sqrt{x}$ .