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:
