1. why do you think uncertainty in measurement occurs? give at least two reasons [2 points] if x = 2.5 ± 0.1 cm and y = 3.1 ± 0.1 cm, and z = x + y, determine zo and the upper bound of δ 2. 1+1-2 points]. the volume of a cylinder is given by v = πγ21/4, where r is the radius and l is the length of the cylinder. if we measured r 2.10 ± 0.05 cm, and 1 = 3.40 ± 0.05 cm, determine the uncertainty in volume. show your calculation (hint: use equation 4] [2 points]. 3. 4. find the average and standard deviation of the following measurements: 12.3 cm, 13.1 cm, 12.6 cm, 13.0 cm, 12.5 cm, 12.9 cm.(1+1 2 points