A hemispherical dome of radius 40 feet is to be given 5 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 5/100 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 5 coats of paint.

Refrigeration and Air Conditioning Technology (MindTap Course List)
8th Edition
ISBN:9781305578296
Author:John Tomczyk, Eugene Silberstein, Bill Whitman, Bill Johnson
Publisher:John Tomczyk, Eugene Silberstein, Bill Whitman, Bill Johnson
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Problem 5RQ: A thin, flexible metal disc with a large surface area is a ______.
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A hemispherical dome of radius 40 feet is to be given 5 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 5/100 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 5 coats of paint.

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