1. A solid lies between planes perpendicular to the​ x-axis at x=0 and x=15. The​ cross-sections perpendicular to the axis on the interval 0 ≤ x ≤ 15 are squares with diagonals that run from the parabola y=−2 square root of x to the parabola y=2 square root x. Find the volume of the solid.

2. A solid lies between planes perpendicular to the​ y-axis at y=0 and y=2. The​ cross-sections perpendicular to the​ y-axis are circular disks with diameters running from the​ y-axis to the parabola x= square root 15 y^2. Set up the integral that gives the volume of the solid and then find the volume of the solid.

3. Find the volume of the solid generated by revolving the shaded region about the​ x-axis.

3x+4y=24

            Use the disk method to set up the integral and then find the volume of the solid.

1. Find the volume of the solid generated by revolving the shaded region about the​ y-axis.

x=4 tan (pie/4 y)

The volume of the solid generated by revolving the shaded region about the​ y-axis is _________

SAMPLE ASSIGNMENT

Sample-2