Max error and relative error
The circumference of a sphere was measured to be http://webwork.asu.edu/webwork2_file...63e9778881.png cm with a possible error of http://webwork.asu.edu/webwork2_file...5b5ed35541.png cm. Use differentials to estimate the maximum error in the calculated surface area.
Estimate the relative error in the calculated surface area.
This is what i tried but i got it wrong?
Circumference of a sphere = 2πr
so r = 11.61831
Maximum error = 149.1416 ? this is wrong
Relative error = change in SA / SA
f'sa = 8πr so change in SA = 8π(11.61831)(.5) = 145.9999
relative error = 145.9999/1696.2731 = .08607
can i get some help with what to do because i guess i am doing it wrong (Crying)