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GMAT Practice Question-What is Height of Water?

Discussion in 'CAT/MAT/GMAT Preparation' started by Royaluni, Sep 10, 2015.

  1. Royaluni

    Royaluni Administrator

    A closed cylindrical tank contains 36∏ cubic feet of water and is filled to half its capacity. When the tank is placed upright on its circular base on level ground, the height of the water in the tank is 4 feet. When the tank is placed on its side on level ground, what is the height, in feet, of the surface of the water above the ground?

    A. 2

    B. 3

    C. 4

    D. 6

    E. 9

    Answer- this is a geometry question, to be specific, volume. Now one thing which is there, is the fact that, no matter whether tank is placed upright or on its side, the height of the water level will remain half of the height of the tank because tank is filled half and same volume of water will reshape itself based on the position of placement of tank.

    When cylinder is placed upright, its height is 4 feet.

    When cylinder is placed on its sides, height will be the radius of the cylinder.

    So we can find out the radius of the cylinder, we can determine the answer.

    Volume of the a cylinder = ∏ * radius * radius * height

    Now we can replace the values and solve for h;

    36∏ = ∏ * r *r * 4

    Now can cancel ∏ on both sides,

    36= r * r * 4

    36/4= r*r


    R= 3 (9 is square of 3)

    Answer choice is B

    Source- Official GMAT 2016 Guide

    What is the probability that the person selected will be the one who invests in municipal bonds but not in oil stocks?
    Last edited: Sep 11, 2015

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