Find the ratio?
Ratio of the error in the volume to the mean volume (delta V/V) in term of the corresponding error in the measurement of the diameter delta D and delta h. Known V = piD^2(h/4)
Ratio of the error in the volume to the mean volume (delta V/V) in term of the corresponding error in the measurement of the diameter delta D and delta h. Known V = piD^2(h/4)
1 Answer
Jan 14, 2018
Given
#V = piD^2(h/4)#
Taking
#logV = log(piD^2(h/4))#
#=>logV = logpi+2logD+logh-log4#
From theory of errors differentiating both sides with respective variables we get
#=>(DeltaV)/V = 2(DeltaD)/D+(Deltah)/h#
