a conical tank with an open top of radius R has a depth H is initially empty. Water is added at a rate of q (volume per unit time). Water evaporates from the tank at a rate proportional to the surface area with the constant of proportionality being k. The volume of water in the tank is V- arh/3, where h is the depth of the water as shown. Show that the depth of water h(t) is given by R H h(t)

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