Originally Posted by

**mkaraline** Hi, I am currently solving some practice problems and would like some help on these three questions with solutions:

1.) A cross section of a trough is parabolic segment 8 feet wide and 4 feet deep. If the trough is filled with a liquid weighing 45 pounds per cubic foot, find the total force on one end. (ANS: 1536 lb)

2.) Find the volume of the solid generated by revolving about y=2 the region bounded by y^{2}=8x, x=8, and y=2.

3.) Considering two curves: x^{2}+y^{2}=48 and x^{2}+8y=0. Determine the length of the line AB. A and B are points of intersection and also determine the area bounded.