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Math Help - Have a very difficult problem that I have not been able to figure out! Try it out

  1. #1
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    Have a very difficult problem that I have not been able to figure out! Try it out

    Been stuck, some of the work would be nice if you can provide it and how you got to your answer.A sphere has a diameter of 2,160 meters. How many meters long is “Unit X” if the surface of the sphere, measured in square Units X is equal to the volume of the sphere measured in cube Units X? Round to the nearest whole number.
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  2. #2
    MHF Contributor MarkFL's Avatar
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    Re: Have a very difficult problem that I have not been able to figure out! Try it out

    Let x=k\text{ m} where k\ne0, thus the radius of the sphere in meters is:

    r=\frac{1880}{k}

    Equating the surface area and volume, we have:

    4\pi\left(\frac{1880}{k} \right)^2=\frac{4}{3}\pi\left(\frac{1880}{k} \right)^3

    Now, solve for k.
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