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Math Help - Help...Linear Approximation..

  1. #1
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    Help...Linear Approximation..

    Approximations: A circular cylindrical tank,
    V=
    πr^2h of internal radius 12m and height 20m is to be painted on the inside: top,bottom and sides,with paint of thickness 0.05cm.


    Use the linear approximation of
    V to calculate how many litres of paint (1 litre=1000cm^3) are required?

    convert all units to cm
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  2. #2
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    Quote Originally Posted by Raidan View Post
    Approximations: A circular cylindrical tank,
    V=
    πr^2h of internal radius 12m and height 20m is to be painted on the inside: top,bottom and sides,with paint of thickness 0.05cm.


    Use the linear approximation of
    V to calculate how many litres of paint (1 litre=1000cm^3) are required?

    convert all units to cm
    V= \pi r^2 h so dV= 2\pi r hdr+ \pi r^2 dh
    Here, dr and dh are the thickness of the paint, 0.05 cm.
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