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Error in radius and error in volume

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1. The top of a tower is a sphere with a diameter of 40ft. A layer of paint 0.08 inches thick is applied to the sphere. Approximate the volume of the paint that is used.

2. The radius of a sphere is measured with a percentage error within + or -0.04%. Estimate the percentage error in the calculated volume of the sphere.

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Solution Summary

The solution shows, step by step, how to calculate the effect of radius error on the relative error of a volume.

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