We have a case where we calculated the buoyant force on a aluminum cylinder and

Question

We have a case where we calculated the buoyant force on a aluminum cylinder and a lead cylinder. In the calculated step, the buoyant forces were calculated by measuring the length, diameter, and mass of the cylinders. In the measured step, we read the tensions of the cylinders hanging from a force probe. The percent difference between the calculated step and the measured step are as follows: Percent difference for aluminum cylinder was found to be 1percent. The percent difference for the lead cylinder was found to be 9%. Both the lead and aluminum cylinders had the same mass. Why do you think the percent difference for the lead cylinder is usually larger than for the aluminum cylinder?

Explanation / Answer

given that

the percent dirrerence for aluminum cylinder =1

the percent difference for lead cylinder =9

basing on we assuming

the percent radius of aluminum =1/3

the percent radius of lead =3

the percent difference of volume of aluminium =1

the percent difference of volume of lead =9

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