geometry

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What is the height of a cylinder with a radius of 6 inches and a surface area of 168pi in^2?

  • geometry -

    Area = 2 pi R^2 + pi R H
    Substitute 6 for R.
    Area = 72 pi + 6 pi H
    = 168 pi

    Therefore
    96 pi = 6 pi H
    and
    H = 16 (inches)

  • geometry -

    the formula should be
    s = 2piRH + 2piR^2

    I follow your method and find the
    H = 8. Thanks.

  • geometry -

    You're right. Senior moment.
    Area = 2 pi R^2 + 2 pi R H = 168 pi
    72 pi + 12 pi H = 168 pi
    12 pi H = 96 pi
    H = 8
    Good work!

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