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Integration volume

  1. May 13, 2010 #1
    1. The problem statement, all variables and given/known data

    A mathematical model for a large garden pot is obtained by rotating through 4 right angles about the y axis the part of the curve y=0.1x^2 which is between x=10 and x=25 and then adding a flat base . Units are in cm . Garden compost is sold in litres . Find the number of litres required to fill the pot to a depth of 45 cm . (Ignore thickness of pot)

    2. Relevant equations



    3. The attempt at a solution

    Fill up to the depth of 45 cm so i have to take the limits from 10 to 55.

    so [tex]V=\pi \int^{55}_{10} 10 y dy [/tex]

    =pi[5(55)^2-5(10)^2]

    =14625 pi cm^3

    =15 pi litres

    Am i correct ?
     
    Last edited: May 13, 2010
  2. jcsd
  3. May 13, 2010 #2

    tiny-tim

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    Looks good! :smile:

    (though I wouldn't leave the π in)
     
  4. May 13, 2010 #3
    thanks !
     
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