# Measurement, Uncertainty, Significant FiguresProblem 1 (III): Calculate the volume of the cylinder shown below if the following dimensions are measured as:d=(3.92±0.005)cmandh=(5.45±0.01)cmAlso, determine both the absolute and percent uncertainty of the calculated volume.(For full credit, fill in the table shown on the top of the next page and show sample calculations.)quantity value Abs. unc. Rel. unc.rhV=πr^2 hProblem 2 (III) Repeat problem 1, but instead of the volume, find the total surface area for the measured cylinder. Find the absolute and percent uncertainty for the calculated surface area. (Again, for full credit, fill in the table below and show sample calculations).quantity value Abs. unc. Rel. unc.rhArea of top/bottom (πr^2)Surface area of curved side (2πrh)Total surface areaUnit conversionProblem 3 (II) How many nanoseconds are there in one “microcentury”?Problem 4 (II) An angstrom (symbol Å) is a unit of length, defined as 〖10〗^(-10) m, which is on the order of the diameter of an atom. a) how many nanometers are in 1.0 angstrom? b) how many angstroms are in a centimeter? c) How far away is York from Kearney in angstroms (the distance is 79 miles and there are roughly 1.6 km in a mile).

Measurement, Uncertainty, Significant Figures

Problem 1 (III): Calculate the volume of the cylinder shown below if the following dimensions are measured as:

d=(3.92±0.005)cm

and

h=(5.45±0.01)cm

Also, determine both the absolute and percent uncertainty of the calculated volume.

(For full credit, fill in the table shown on the top of the next page and show sample calculations.)

quantity value Abs. unc. Rel. unc.

r

h

V=πr^2 h

Problem 2 (III) Repeat problem 1, but instead of the volume, find the total surface area for the measured cylinder. Find the absolute and percent uncertainty for the calculated surface area. (Again, for full credit, fill in the table below and show sample calculations).

quantity value Abs. unc. Rel. unc.

r

h

Area of top/bottom (πr^2)

Surface area of curved side (2πrh)

Total surface area

Unit conversion

Problem 3 (II) How many nanoseconds are there in one “microcentury”?

Problem 4 (II) An angstrom (symbol Å) is a unit of length, defined as 〖10〗^(-10) m, which is on the order of the diameter of an atom. a) how many nanometers are in 1.0 angstrom? b) how many angstroms are in a centimeter? c) How far away is York from Kearney in angstroms (the distance is 79 miles and there are roughly 1.6 km in a mile).

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