The water container shown below is a cylindrical tank with a conical base. The r

Question

The water container shown below is a cylindrical tank with a conical base. The radius and the height of the cylindrical part are R and 2R respectively, and the height of the conical base is R. If the water level is quite low, in the conical part, the volume is simply the conical volume of water. If the water level is midrange in the cylindrical part, the total volume of water includes the water filled in the conical part and the partially filled cylindrical part. Water can be drained by the stopcock attached on the pipe connected to bottom of the container. When the stopcock is open water drains at a rate of 0.20 m3/min

Write an M-file (function) to calculate the level of water as a function of time when the stopcock is opened to drain out the water from the container. In other words, when the pipe is draining water from the container, the water level decreases gradually with time. You are to find the water level at every minute during the draining phase.

Write also a script file that will call the above function to get the value of water levels (m) and corresponding times (minutes) during draining phase and then plot the water level Vs. time for each of the container listed below. Use subplots to put all the plots in a single graphic window. Return an error message, "Out of Range", if the initial level of water is greater than 3R.

The table given below shows the radius and the initial level of water for each of the container.

You can compare your results with the plot attached herewith. R(meter)

0.8

1.5

1.3

1.3

h (meter)

1

1.25

4

3.5

You can compare your results with the plot attached herewith. R(meter)

0.8

1.5

1.3

1.3

h (meter)

1

1.25

4

3.5

Explanation / Answer

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