The circumference of a sphere was measured to be 80 cm with a possible error of 0.5 cm. Use linear approximation to estimate the maximum error in the calculated surface area. Estimate the relative error in the calculated surface area.

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The circumference of a sphere was measured to be 80 cm with a
possible error of 0.5 cm. Use linear approximation to estimate the
maximum error in the calculated surface area.
Estimate the relative error in the calculated surface area.
Transcribed Image Text:The circumference of a sphere was measured to be 80 cm with a possible error of 0.5 cm. Use linear approximation to estimate the maximum error in the calculated surface area. Estimate the relative error in the calculated surface area.
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