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A milk tanker cylinderical in shape having a diameter of 2m and height 4.2m supplies milk to the two booths in the ratio3:2 .One of the milk booths having arectangular base area of 3.96 sq. m and the other has a cylinderical vessel having diameter of 2m. Find the level of milk in each vessel..

  • maths -

    3/5 to rectangular tank
    2/5 to cylinderical tank

    volume of tanker = pi r^2 H = pi d^2/4 h
    = pi (4/4)(4.2) = 13.2 m^3

    (3/5 )13.2 = 7.92 m^3 = 3.96 h
    so h = 2 meters

    (2/5 )13.2 = 5.28 m^3
    5.28 = pi (4/4) h
    h = 1.68 meter

  • maths -

    vol of cylinder=pie*r^2*h
    (22/7)*1^2*4.2=13.2
    rectangula booth==>3 of 5 parts
    (3/5)*13.2=7.92m
    cyliderical booth recives 13.2-7.92=5.28m

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