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Grade 12Mechanics

error in measurement of radius of a cylinder is 2% and in length it is 1%. the error in the measurement of the volume of cylinder is

Profile image of himanshu
7 Years agoGrade 12
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1 Answer

Profile image of Arun
7 Years ago
Dear student
 
volume of cylinder = pi r^2 l
 
now differentiating wrt themselves
 
2 dr/r + dl/l = percentqge error in volume
 
 =  2*2 + 1 = 4 + 1 = 5%