The mass was measured within 1%, and the diameter within 3%, what is the error in the density of steel ball approximately?
Density of steel ball is given by
log(d)=log (m)-log (r^(-3)
Taking log of the two side and differentiating
del (d)/d=del (m)/m+-(-3) del (r)/r
Maximum possible error in measuring density is (1+3×3)=10% and error lies between
9-1=8% and 10%.