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Hirohito
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Homework Statement
A tank in the form of a right-circular cone standing on end with its vertex down, is leaking water through a hole its circular bottom.
- a. Suppose the tank is 20 feet high moreover has a radius 8 feet wide moreover the circular hole has a radius 2 inches. In problem 1.3 you were asked to demonstrate that the differential equation governing the height h of water leaking from a tank is
dh/dt = -5/6h3/2
In this model, friction as well as contraction of the water at the hole were taken into account with c = 0.3, moreover that g was taken to be 32 ft/s2. If the tank was initially full, how long shall it take the tank to empty?
b. Suppose the tank has a vertex angle of 60o in addition that the circular hole has a radius of 2 inches. Determine the differential equation governing the height h of water. Use c = 0.6 as well as g = 32 ft/s2. If the height of the water is initially 9 feet, how long will it take the task to empty?
Homework Equations
dh/dt = -5/6h3/2
The Attempt at a Solution
Not yet. I just came into this site after being referred to by a friend, moreover I seriously need help in differential equations. Can someone help?