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Deepak Bora
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A rectangular water tank of base 11 m x 6 m contains water upto a height of 5 m. if the water in the tank is transferred to a cylindrical tank of radius 3.5 m, find the height of the water level in the tank.

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M.L Aggarwal book Important Question of class 10 chapter Based on Mensuration for ICSE BOARD.
A rectangular water tank of base given contains water upto a height of 5 m. if the water in the tank is transferred to a cylindrical tank of radius 3.5 m, find the height of the water level in the tank.
This is the Question Number 04, Exercise 17.5 of M.L Aggarwal.

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1 Answer

  1. Given dimensions of the rectangular water tank = 11 m × 6 m

    Height of water in tank = 5 m

    Volume of water in tank = 11×6×5 = 330 m3

    Radius of the cylindrical tank, r = 3.5 m

    Volume of cylindrical tank = r2h

    r2h = 330

    (22/7)×3.52×h = 330

    (22/7)×12.25×h = 330

    h = 330×7/22×12.25

    = 8.57 m

    Hence the height of the water level in the tank is 8.57m.

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