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CalculusMediumContextual Applications of Differentiation

Contextual Applications of Differentiation · Medium problem

10

A sphere's radius is measured as 1010 cm with a possible error of ±0.05\pm 0.05 cm. Use differentials to estimate the maximum error in the computed volume V=43πr3V=\tfrac{4}{3}\pi r^3, and find the approximate percent error.