Consider a closed circular cylinder of radius about 3 m and height about 4 m. Use the total differential to determine how accurately the radius and height should be measured so that the error in the volume estimate will not exceed 0.1 m³? (Assume that the possible error dr in measuring r is equal to the possible error dh in measuring h).

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Consider a closed circular cylinder of radius about 3 m and height about 4 m. Use the total differential
to determine how accurately the radius and height should be measured so that the error in the volume estimate will not
exceed 0.1 m³? (Assume that the possible error dr in measuring r is equal to the possible error dh in measuring h).
Transcribed Image Text:4. Consider a closed circular cylinder of radius about 3 m and height about 4 m. Use the total differential to determine how accurately the radius and height should be measured so that the error in the volume estimate will not exceed 0.1 m³? (Assume that the possible error dr in measuring r is equal to the possible error dh in measuring h).
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