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The base radius and height of a circular cylinder are measured as 3 cm and 10 cm, respectively, with a possible error in measurement of

The base radius and height of a circular cylinder are measured as 3 cm and 10 cm, respectively, with a possible error in measurement of as much as 0.05 cm in radius and 0.1 cm in height. Use differentials to estimate the maximum error in the calculated surface area (with lid and bottom) of the cylinder.

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