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July 7, 2015

Homework Help: Calculus

Posted by Steven on Friday, December 4, 2009 at 5:08am.

Suppose a cylindrical can is manufactured with radius r. The manufacturing process makes the length r imprecise; r can be off by 0.03 cm. The manufacturing process makes the height of the can precisely equal to three times the radius r (including any error in r, but not introducing any new error).

a) Use ∆r= 0.03 to approximate the corresponding error in the volume of the can by using differentials (or the linear approximation)

b) The fraction ∆r/r is called the relative error of percentage error in the radius. If the relative error in the radius is z, approximate the corresponding relative error in the volume.

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