Question

Suppose you measure the radius of the cylinder five times: 3.1 cm, 3.3cm, 3.2 cm, 3.3 cm, and 3.4 cm. the height of the cylinder was: 5.5 cm, 5.5 cm, 5.7 cm, 5.6 cm, and 5.7 cm.
(1) find the uncertainty of radius and height. (note: you have to find out the average for the radius and height first along with its uncertainties, alpha =sqrt((sigma(xi-x)^2)/(n-1))

(2) find the percentage uncertainties of radius and height. Also expressed the radius and height of cylinder as average value +/- standard deviation in percentage.

(3) Find the volume of the cylinder. Must be expressed as the volume +/- standard deviation in cm^3. Don't forget units V cylinder=pi r^2 h

Answer 1

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