calculus

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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.

  • calculus -

    Without using calculus:
    Amount of paint
    =surface area * thickness of paint(t)
    =4πr²*t

    Make sure you put everything in the right units (probably cm).

    Using calculus:
    V=4πr³/3
    dV/dr=4πr²t

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