A hemispherical dome of radius 40 feet is to be given 3 coats of paint, each of which is 1/100 inch thick. Use linear approximation to estimate the volume of paint needed for the job.( Hint: Approximate the change in the volume of a hemisphere when the radius increases from 40 feet to 40 feet 3/100 inches. Don't forget to make sure this increased radius is in terms of feet. )It will take approximately   cubic feet of paint to apply all 3 coats of paint.

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