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Definite Integral Word Problem

  • Thread starter niravana21
  • Start date
  • #1
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Homework Statement


A rectangular pool is 10 meters wide and 25 meters long. The depth of water "x" meters from the shallow end of the pool is
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Part A. Write a left-hand Riemann Sum with 5 terms that approximates the volume of the water in the pool. Is your approximation an underestimate or an overestimate? Explain.

Part B. Write a definite integral that gives the exact volume of the water in the pool.


The Attempt at a Solution


Don't know where I should even begin. Forgot my book at school and its vacation time:(
 

Answers and Replies

  • #2
HallsofIvy
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Draw a picture looking at the pool from the side. It should be a quadrilateral with base 25 m long, two right angle ends, and end heights [itex]0^2/175+ 1= 1[/itex] and [itex]25^2/175+ 1= 4.57[/itex] meters (not a very deep pool!). A cross section, of width h at distance x from the shallow end, is 10 by 4.57 by h. Take h= 25/n where n is the number of steps you decide to use.
 
  • #3
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i still dont quite understand :(
Your heights aren't showing up.
 
  • #4
34
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anyone?
 

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