A tank in the shape of a hemisphere with a radius r = 7 ft is full of water to a depth of 3 ft. Set up the integral that would find the work W required to pump the water out of the spout. Use the location of the origin and the direction of the positive axis as specified in the different parts. hemisphere Note: Use 62.5 lb/ft3 as the weight of water.
(A) The origin is at the top of the tank with positive y variables going down. dy
(B) The origin is at the bottom of the tank with positive y-values going up. dy