The edge of a cube was found to have a length of 50 cm with a possible error in measurement of 0.1 cm. Based on the measurement, you determine that the volume is 125,000 cm3. Use tangent line approximation to estimate the percentage error in volume.

Answer 1

v = s^3
dv = 3 s^2 ds
at s = 50 v = 125,000
dv = 3 (2500) ds = 7500(.1) = 750

100 (750/125,000) = .6 %

Answer 2

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