W = weight density of the fluid
A = cross-sectional area as a function of y
L = lift distance of a representative horizontal cross section as a function of y
T = cross sectional thickness ... dy
sketch the graph of the circle ... use the lower half to represent the edge of the bowl.
radius of a representative horizontal "slice" of liquid is r = x, so cross-sectional area ...
lift distance of a representative 'slice" ...
weight density of water is
all the "slices" of water lie between and
work in Joules is given by ...