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???

Question

anonymous · Answer

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.

anonymous · Answer

Which gets me 1009.237 cubic feet of paint.