hiutung asked in 科學及數學數學 · 1 decade ago

Maths...

Water flows through a pipe with the inner diameter of 16 cm at a speed of 0.8m/s.

(a)Find the volume of water flows out from the pipe per second.

(Express your answer in term of 兀)

(b)The height and the base area of a cylinder tank are 1m and 2m respectively.How long does it take to fill the tank with water flows out from the pipe above?(Express your answer in minute.)

Thank you!!

1 Answer

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  • wkho28
    Lv 7
    1 decade ago
    Favorite Answer

    (a) The volume of water flows out from the pipe per second is

    [( 16 / 2 )cm]^2 兀 X 0.8m = ( 64 cm^2)兀 X 80 cm= 5120兀 cm^3

    (b) The height of a cylindrical tank is 1m.

    The base area of a cylindrical tank is 2m. ( The dimension is not correct, it should be 2m^2, right ? )

    Volume of the cylindrical tank is 2 m^2 X 1m = 2 m^3 = 1000000 cm^3

    In order to fill the tank with water flows out from the pipe above, it takes

    1000000 / 5120兀 seconds = 62.170 seconds = 1.036 minutes

    2009-05-28 19:03:54 補充:

    I am sorry that I make a mistake in Part (b).

    Volume of the cylindrical tank is 2 m^2 X 1m = 2 m^3 = 2000000 cm^3

    Therefore it takes 2000000 / 5120兀 seconds = 124.340 seconds = 2.072 minutes

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