Pumping water problems are Calculus 2 work problems with changing force and changing lift distance. This Woody Calculus lesson develops the complete slice method and solves a cylindrical-tank example step by step.
Hydrostatic force problems are Calculus 2 slice-method problems in disguise. This Woody Calculus lesson explains why force equals density times gravity times area times depth, why pressure changes with depth, and how to set up the hydrostatic force integral for a circular plate.