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What is the volume of a tank that is 8 ft in diameter and 15 ft high?

  1. Dec 21, 2014 #1
    1. The problem statement, all variables and given/known data
    What is the volume of a tank that is 8 ft in diameter and 15 feet high

    2. Relevant equations


    3. The attempt at a solution
    Π x (4ft) 2 x 20ft

    3.14 X 24ft x 15ft = 1130.4
     
    Last edited: Dec 21, 2014
  2. jcsd
  3. Dec 21, 2014 #2

    SteamKing

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    It's not clear where the figures 13.4 and 24 come from. Also, the word 'diameter' implies that the tank is a cylinder.
     
  4. Dec 21, 2014 #3
    D = diameter = 8 ft
    h = height = 15 ft
    A = cross-sectional area = to be determined
    V = volume = to be determined

    A = πD²/4
    A = (3.14)(8 ft)²/4
    A = 50.3 ft²

    V = Ah
    V = (50.3 ft²)(15 ft)
    V = 754 ft³
     
  5. Dec 21, 2014 #4

    SteamKing

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    This looks good.
     
  6. Dec 21, 2014 #5

    Ray Vickson

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    I hope you realize that 3.14 is not the value of ##\pi##, but is just a 3-digit approximation to the true value (and which is sometimes close enough in some problems, but not nearly accurate enough in some other cases).
     
  7. Dec 21, 2014 #6

    Mark44

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    Just to clarify your initial work, in your first expression above, you have 20 ft where it should have been 15 ft. I understand that "(4ft) 2" is supposed to be 42, which can also be written as 4^2.

    In your second expression you corrected the 20ft dimension, but 4 X 4 ##\neq## 24.
     
  8. Dec 22, 2014 #7
    ok i think i got it

    D = diameter = 8 ft
    h = height = 15 ft
    A = cross-sectional area = to be determined
    V = volume = to be determined

    A = πD²/4
    A = (3.14) (8 ft) ²/4
    A = 50.24 ft²

    V = Ah
    V = (50.24 ft²) (15 ft)
    Volume V = 753.6 ft³

    Final Answer is = V = 753.6 ft³
     
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