A farmer wishes to paint the side of a cylindrical grain silo of height 80 feet and diameter 32 feet. If the paint is to be applied in a coat 1/8 inch thick, use differentials to approximate the volume of paint that the farmer needs to buy. Calculate the actual error in the approximation; what is the relative error when compared to actual volume of paint required???
Wouldn't it just be easier to work out the volume of cylinder of diameter 32.25, height 80 and subract the volume of a 32,80 cylinder? There shouldn't be any degree of error if he was to apply it evenly.
Which gets me 1009.237 cubic feet of paint.
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