A hemispherical tank of radius R is initially filled with water. At the bottom ofthe tank, there is a hole of radius r through which the water drains under the influence of gravity. Find the depth ofthe water in the tank at any time t, and determine how long it will take the tank to drain completely.f, instead of draining through an orifice of constant area, the tank drains through an orifice whose area is controlled by a float valve in such a way that it is proportional to the instantaneous depth of the water in the tank. e 6:44 älse

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A hemispherical tank of radius R
is initially filled with water. At the
bottom ofthe tank, there is a hole
of radius r through which the water
drains under the influence of gravity.
Find the depth ofthe water
in the tank at any time t, and
determine how long it will take the
tank to drain completely.f, instead
of draining through an orifice of
constant area, the tank drains
through an orifice whose area is
controlled by a float valve in such a
way that it is proportional
to the instantaneous depth of the
water in the tank.
2 2 6:44 äles
Transcribed Image Text:A hemispherical tank of radius R is initially filled with water. At the bottom ofthe tank, there is a hole of radius r through which the water drains under the influence of gravity. Find the depth ofthe water in the tank at any time t, and determine how long it will take the tank to drain completely.f, instead of draining through an orifice of constant area, the tank drains through an orifice whose area is controlled by a float valve in such a way that it is proportional to the instantaneous depth of the water in the tank. 2 2 6:44 äles
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