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Math Help - Derivative/Volume question! =]

  1. #1
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    Derivative/Volume question! =]

    Estimate the amount of paint needed to apply a coat of paint .0010M thick to a hemispherical dome with a diamater of 50M.

    v=2/3(pi)(r)^3

    My work/thoughts:

    [ 2/3(pi)(25m+.0010m)^3 ] - [2/3(pi)(25m)^3]

    Not sure if im right though... If someone could show me what to do would be great, and hopefully I didnt do something im not supposed to do!

    Thanks.
    Last edited by Marker; October 29th 2009 at 08:13 PM. Reason: My word problem was wrong.
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  2. #2
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    Quote Originally Posted by Marker View Post
    A painter would like to predict how much paint he will need to paint a domed stadium. Use differentials to estimate the amount of paint needed to apply a coat of paint .0010M thick to a hemispherical dome with a diamater of 50M.

    v=2/3(pi)(r)^3My work/thoughts:

    [ 2/3(pi)(25m+.0010m)^3 ] - [2/3(pi)(25m)^3]

    Not sure if im right though... If someone could show me what to do would be great, and hopefully I didnt do something im not supposed to do!

    Thanks.
    Well, the problem said "Use differentials to estimate the amount of paint" and you haven't used differentials! dV= (?)dr. and dr= 0.0010 approximately.
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