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March 28, 2017

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A cylindrical container weighs 36 ounces. Another container made out of the same material is similar to the first container with a height that is three-fourths the height of the first container. To the nearest tenth of an ounce, how much does the second container weigh?

  • Honors Geometry - ,

    28.1 but im not sure.

  • Honors Geometry - ,

    Well... i got this so far..

    W1 = weight of first container = 36 ounces
    W2 = weight of second container

    Use the ratio of weights of similar solids to solve for the weight of the second container.

    W2/W1 = t^3

    W2/36 = (3/4)^3

    W2/36 = 27/64

    W2 = 36*27/64 = 15.1875

    Rounded to the nearest 10th 15.2
    The second cylindrical container weights 15.2 ounces.

    Is that right?

  • Honors Geometry - ,

    If they are really similar, multiplying by 27/64 as you did is correct. That assumes that the wall thickness as well as the radius and height are 3/4 of the original.

  • Honors Geometry - ,

    If they both had the same wall thickness (for example tin cans made out of the same sheets of metal) you would multiply by 9/16.
    The reason I mention this is that they went out of their way to say that it was a container and not a solid cylinder.

  • Honors Geometry - ,

    hello people

  • Honors Geometry - ,

    I forgot the paprika

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