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    a closed cylindrical tank contains 36π 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?

    Mohammed

    Guys, does anyone know the answer?

    get a closed cylindrical tank contains 36π 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? from screen.

    A closed cylindrical tank contains 36pi 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?

    Click here👆to get an answer to your question ✍️ A closed cylindrical tank contains 36pi 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?

    Question

    A closed cylindrical tank contains 36π 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

    Medium Open in App Solution Verified by Toppr

    Correct option is B)

    Since the cylinder is half full, it will be filled to half its height, whether it is upright or on its side.When the cylinder is on its side, half its height is equal to its radius.

    Using the information about the volume of water in the upright cylinder, solve for this radius to determine the height of the water when the cylinder is on its side.

    V=πr 2 h volume=(π)(radius 2 )(height) 36π=πr 2

    h known volume of water is 36π

    36=r 2

    (4) substitute 4 for h; divide both sides by π

    9=r 2 solve for r

    3=r radius=height of the water in the cylinder on its side

    The correct answer is B.

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    A closed cylindrical tank contains 36pi cubic feet of water and is fil : Problem Solving (PS)

    A closed cylindrical tank contains 36\pi cubic feet of water and is filled to half its capacity. When the tank is placed upright on its ...

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    Bunuel

    Math Expert

    Joined: 02 Sep 2009

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    A closed cylindrical tank contains 36pi cubic feet of water and is fil [#permalink]

    14 Jun 2012, 01:54 9 Kudos 186 Bookmarks Expert Reply 00:00 A B C D E

    SHOW TIMER STATISTICS

    A closed cylindrical tank contains

    36π 36π

    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

    Notice that some editions of OG have a typo saying that the height of the water in the tank is 2 feet, it should read "the height of the water in the tank is 4 feet".

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    Bunuel

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    Joined: 02 Sep 2009

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    A closed cylindrical tank contains 36pi cubic feet of water and is fil [#permalink]

    14 Jun 2012, 01:54 30 Kudos 40 Bookmarks Expert Reply SOLUTION

    Notice that some editions of OG have a typo saying that the height of the water in the tank is 2 feet, it should read "the height of the water in the tank is 4 feet".

    A closed cylindrical tank contains 36pi 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

    Look at the diagram below:

    Since the tank is half full when placed upright then naturally it'll also be half full when placed on its side, so the level of the water (when placed that way) will be half of the diameter, so

    r r . Now, given that V water =π∗ r 2 ∗ H water Vwater=π∗r2∗Hwater ; 36π=π r 2 ∗4 36π=πr2∗4 ; r=3 r=3 . Answer: B. Show Spoiler _________________

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    gnan

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    Re: A closed cylindrical tank contains 36pi cubic feet of water and is fil [#permalink]

    14 Jun 2012, 10:11 10 Kudos

    Volume of water inside cylinder = 36pi = pi

    r 2 r2 h

    Here water is filled up to a height of 2 feet, so h=2

    r 2 r2 = 18 r=3 sqrt2 sqrt2

    There might be a mistake in the given problem.

    General Discussion

    ziko

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    Joined: 28 Feb 2012

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    Re: A closed cylindrical tank contains 36pi cubic feet of water and is fil [#permalink]

    16 Jun 2012, 02:56 3 Kudos 1 Bookmarks gnan wrote:

    Volume of water inside cylinder = 36pi = pi

    r 2 r2 h

    Here water is filled up to a height of 2 feet, so h=2

    r 2 r2 = 18 r=3 sqrt2 sqrt2

    There might be a mistake in the given problem.

    I agree to your comment partially, in my opinion this question has some ambiguity when it states that the tank contains 36pi cubic feet of water and is filled to half its capacity, so we may assume that 36pi is the volume when half capacity. So it would be better to state that the tank, when full, can be filled with 36pi or the full capacity of the tank is 36pi, or something alike. But i think this is one of the small tricks of GMAT. But anyway if you solved this way and did not come up with answer you should see what else GMAT could think by saying 36pi, then you see that only possible answer is 3 (B)

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    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

    Answer to: 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...

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    A closed cylindrical tank contains 36 cubic feet of water and is filled to half its capacity....

    A closed cylindrical tank contains 36 cubic feet of water and is filled to half its capacity.... Question:

    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?

    Cylinders- Volume of The Shape:

    In geometrical mathematics, a shape is known as a cylinder that contains two circular bases that are parallelly aligned with respect to each other and there is a lateral surface associated in between both the bases of the shape and all the cylinders are three-dimensional shapes.

    The length connecting the parallel bases of a cylindrical shape is known as the height of the cylinder.

    The radius of the bases of a cylindrical shape is equal.

    Let {eq}r {/eq} is the radius of a cylindrical geometry and the {eq}h {/eq} is the height of the shape than the volume of the cylindrical figure-

    $$V = \pi r^{2} h $$

    whose {eq}V {/eq} is the volume of the cylindrical shape

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    Given that a closed cylindrical tank contains {eq}36 \rm ~ft^{3} {/eq} of water and is filled to half its capacity. When the tank is placed upright...

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    Learn to define the general shape, surface area, and volume of a cylinder. Discover the formulas for calculating the surface area and volume of a cylinder, and see examples of these formulas in action.

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