Results 1 to 2 of 2

Math Help - find volume

  1. #1
    Newbie
    Joined
    Apr 2008
    Posts
    24

    find volume

    Hello everybody,
    can anyone help me plz with this problem?

    a river, runnung between parallel banks, is 20 m wide. the depth, y metres, of the river measured at point x metres from one bank is given by formula
    y = 1/10 * x *√(20-x), 0≤ x ≤20.
    the table below, giving values of y to 3 decimal places.
    x: 0 4 8 12 16 20
    y: 0 1.600 2.771 2.262 3.200 0
    by using the trapezium rule with all the values in the table to estimate the cross-area of the river we found A = 39.332
    given that the cross-sectional area is constant and that the river is flowing uniformly at 2 m s-1
    Q: estimate, in m3, the volume of water flowing per minute, giving your answer to 3 significant figures.

    Thanks
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Grand Panjandrum
    Joined
    Nov 2005
    From
    someplace
    Posts
    14,972
    Thanks
    4
    Quote Originally Posted by badi6 View Post
    Hello everybody,
    can anyone help me plz with this problem?

    a river, runnung between parallel banks, is 20 m wide. the depth, y metres, of the river measured at point x metres from one bank is given by formula
    y = 1/10 * x *√(20-x), 0≤ x ≤20.
    the table below, giving values of y to 3 decimal places.
    x: 0 4 8 12 16 20
    y: 0 1.600 2.771 2.262 3.200 0
    by using the trapezium rule with all the values in the table to estimate the cross-area of the river we found A = 39.332
    given that the cross-sectional area is constant and that the river is flowing uniformly at 2 m s-1
    Q: estimate, in m3, the volume of water flowing per minute, giving your answer to 3 significant figures.

    Thanks
    Lets assume your estimate for the crossectional area of the river is correct, then the water in a length of river equal to 2 \times 60 metres will flow past a point in 1 minute (that is 60 seconds worth of 2 m/s). Multiply this by the crossectional area and you will have the flow rate in cubic metres per minute.

    RonL
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Find the volume
    Posted in the Calculus Forum
    Replies: 2
    Last Post: November 13th 2010, 05:17 AM
  2. Replies: 2
    Last Post: July 5th 2010, 09:48 PM
  3. Find a volume
    Posted in the Calculus Forum
    Replies: 10
    Last Post: July 22nd 2009, 04:38 AM
  4. Find the volume
    Posted in the Calculus Forum
    Replies: 1
    Last Post: October 22nd 2008, 11:10 PM
  5. Find the volume
    Posted in the Calculus Forum
    Replies: 1
    Last Post: December 13th 2006, 03:39 PM

Search Tags


/mathhelpforum @mathhelpforum