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Math Help - Another linear aproximation problem

  1. #1
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    Exclamation Another linear aproximation problem

    Hopefully, after this problem I can solve most of the linear aproximation problems I will see in class.

    Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat of paint cm thick to a hemispherical dome with a diameter of meters. _______


    any help would be greatly appreciated. Thanks!
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by xcelxp View Post
    Hopefully, after this problem I can solve most of the linear aproximation problems I will see in class.

    Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat of paint cm thick to a hemispherical dome with a diameter of meters. _______


    any help would be greatly appreciated. Thanks!
    I'm not sure if linear approximations are the way to go here. we want to use differentials, slightly different thing.

    60 m = 6000 cm

    so our diameter is 6000cm, so the radius is 3000cm

    the amount of paint is talking about the volume. so the radius is 3000 cm and we want a coat of paint 0.02 cm thick, so the error in radius or the change in radius is dr = 3000.02 - 3000 = 0.02
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