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12 Nov 2019
The height and radius of a right circular cone are measured as h = 12 meters and r = 8 meters. In the process of measuring, errors ?r and ?h are made. S is the lateral surface area of the cone. Complete the table below to show the relationship between ?S and dS for the indicated errors. (Round your answers to four decimal places.)
?r ?h dS ?S ?S ? dS 0.1 0.1 0.1 ?0.1 0.001 0.002 ?0.0001 0.0002
The height and radius of a right circular cone are measured as h = 12 meters and r = 8 meters. In the process of measuring, errors ?r and ?h are made. S is the lateral surface area of the cone. Complete the table below to show the relationship between ?S and dS for the indicated errors. (Round your answers to four decimal places.)
| ?r | ?h | dS | ?S | ?S ? dS |
|---|---|---|---|---|
| 0.1 | 0.1 | |||
| 0.1 | ?0.1 | |||
| 0.001 | 0.002 | |||
| ?0.0001 | 0.0002 |
Elin HesselLv2
23 Jan 2019
