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Calculus Help

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Use differentials to estimate the amount of paint needed to apply a coat of paint 0.03 cm thick to a hemispherical dome with diameter 54 m. (Round your answer to two decimal places.)

  • Calculus Help - ,

    v = 2/3 pi r^3 (half a sphere)
    dv = 2 pi r^2 dr

    now just plug in the given r and dr
    watch the units.

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