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Math Help - conical paper cup

  1. #1
    Member Veronica1999's Avatar
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    conical paper cup

    How deep is the water in a conical paper cup that is filled to half of its capacity?

    Is my answer correct?
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  2. #2
    MHF Contributor
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    Re: conical paper cup

    The answer is correct, but the proof should be general. Assume that the dimensions of the cone are R and H and the dimensions of the part occupied by water are r and h. Since these figures are similar, R / r = H / h. Write the ratio of volumes, equate it to 1/2 and find h / H.
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