A cylindrical tank filled with water has height h and a base of area A. Water leaks
Question:
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 Vh−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?
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The differential equation for the height of the water in the tank as B 28 y A Separating variab...View the full answer
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