Show Work Hits: The flask will be filled with water (at a constant rate of 500 gallons per minute). It will take me exactly 10 minutes to escape from the chains. The diameter of the tank at 1 foot...

Show Work

Hits:

• The flask will be filled with water (at a constant rate of 500 gallons per minute).


• It will take me exactly 10 minutes to escape from the chains.


• The diameter of the tank at 1 foot intervals.


• I am 5 feet 9 inches tall, and I'm pretty skinny so that you can ignore both my volume and the volume of the stool in your analysis.


• A gallon is equal to 0.13368 cubic feet.


• You can think of the volume and the height of the water as functions of time. You can easily find an expression for
  V (t), and then use your expression for volume in terms of height to solve for
  h(t).

Extracted text: 5.5 t 5.7 A 6f 6.3 A 6.7t 7t 7.5A 8.1 A 8.9 fA 10ft 11.5 t 14ft 20ft After consulting with your enterprising and resourceful professor, he suggested that you might be interested to know that I am 5 feet 9 inches tall, and I'm pretty skinny so that you can ignore both my volume and the volume of the stool in your analysis. Yours sincerely, T. Houdini A Few Comments After consulting with T. Houdini, I have a few suggestions that may help you get started: •A gallon is equal to 0.13368 cubic feet. • You can think of the volume and the height of the water as functions of time. You can easily find an expression for V (t), and then use your expression for volume in terms of height to solve for h(t).


Extracted text: Questions: 1. So, I would like to escape from the shackles at the exact instant that the water reaches the top of my head. I need your help in determining how tall the stool should be? 2. So at any time after the water begins flowing, I want to know how high the water is in the tank? how fast the water is rising? 3. I would like to know how long I will have to hold my breath during the last part of the stunt.