A cylindrical tank filled with water has height h and a baseof area A. Water leaks through a hole in the bottom of area B.(a) Show that the time required for the tank to empty is proportionalto A√h/B.(b) Show that the emptying time is proportional to V h−1/2, where Vis the volume of the tank.(c) Two tanks have the same volume and a hole of the same size, butthey have different heights and bases. Which tank empties first: thetaller or the shorter tank

A cylindrical tank filled with water has height h and a base
of area A. Water leaks through a hole in the bottom of area B.
(a) Show that the time required for the tank to empty is proportional
to A
√h/B.
(b) Show that the emptying time is proportional to V h−1/2, where V
is the volume of the tank.
(c) Two tanks have the same volume and a hole of the same size, but
they have different heights and bases. Which tank empties first: the
taller or the shorter tank