The volume of a hemisphere-machined part of a cutting machine is to be computed from a measured value of its diameter. The percentage error in the measurement is crucial as it is differs based to their specific cutting capacity. Estimate the maximum permissible percentage error in the measurement if the percentage error of the area must be kept within ±1%.

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter61: Areas Of Circles, Sectors, And Segments
Section: Chapter Questions
Problem 50A
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The volume of a hemisphere-machined part of a cutting machine is to be computed
from a measured value of its diameter. The percentage error in the measurement is
crucial as it is differs based to their specific cutting capacity. Estimate the maximum
permissible percentage error in the measurement if the percentage error of the area
must be kept within ±1%.
Transcribed Image Text:The volume of a hemisphere-machined part of a cutting machine is to be computed from a measured value of its diameter. The percentage error in the measurement is crucial as it is differs based to their specific cutting capacity. Estimate the maximum permissible percentage error in the measurement if the percentage error of the area must be kept within ±1%.
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