Measurements of an aquarium are
m.
If we are pumping the water out of theacquarium means depth will change.
\Consider at any instant of time, depth of the water as
m.
Volume of the aquarium is
.
Density of the water is
kg/m3.
Force can be defined in terms of density as
\
.
Substitute
and
in above expression.

Find the work done required to pumping half of the water out of the acquarium.
\Work done as a Riemann sum is
.

J.
Work done required to pumping half of the water out of theacquarium
J.