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2 answers:
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Answer:
A) The maximum error in the calculated surface area:
Relative error:
B) The maximum error in the calculated volume:
Relative error:
Step-by-step explanation:
A) The formula for the surface area is:
The measured value is the circumference which is equal to:
then the radius is:
Substituting in the formula of the surface:
Using the formula to calculate the error:
Where is the variable measured and
is a function of
(
).
We have C=80cm and dC=0.5cm
The relative error is the maximum error divide by the total area. The total area is:
B) The formula for the volume is:
Using
The maximum error is:
The calculated volume is:
The relative error is: