use differentials to estimate the amount of paint needed to apply a coat of paint 0.05 cm thick to a hemispherical dome with diameter 50 m.estimate the relative error in computing the surface area of the hemisphere.
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Use differentials to estimate the amount of paint needed to apply at coat of paint 0.05 cm thick to a hemispherical dome with diameter 50 cm. 3πr2dr = 2πr2dr. Now the amount of paint needed is ∆V ≈ dV = 2πr2dr.
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