Average Length ± Relative Mean (%) Average width ± Relative Mean(%) Average Heig

Question

Average Length ± Relative Mean (%) Average width ± Relative Mean(%) Average Height ± Relative mean(%) Volume ± Relative Mean (%) 3. Measurement of the hollow cylinder with the vernier caliper Vernier Caliper Readings Zero Readinelo, a 10.0-), D 10.0 100 Length Inner Dia. Outer Dia. .ga Reading Mean O.O Zero Reading .O Length4 Inner Dia. Outer Dia.ta Depth Average Lengtig Relative Mean (3)) G.HI Ave. Inner Dia. ± Relative Mean (%) | 0.3- Ave. Outer Dia. ± Relative Mean (%) | . Average Depth ± Relative mean(%) 14.8 .gl volume ± Relative Mean (%)

Explanation / Answer

from the given data

zero 0

Length 6.38 6.36 6.36 6.38 6.37

inner d 0.97 0.96 0.94 0.96 0.94

outer d 1.92 1.91 1.91 1.91 1.92

Depth 4.92 4.97 4.96 4.95 4.99

hence

the completed table is as under

Avg Mean deviation

zero reading 0 0

Length 6.37 0.8*10^-4

inner dia 0.954 0.000144

outer dia 1.914 0.000024

Depth 4.958 0.000536

Average length +- relative mean% = 6.37 +- 1.255*10^-3%

Average inner dia +- relative mean% = 0.954 +- 0.015094%

Average outer dia +- relative mean% = 1.914 +- 0.001253 %

Average Depth +- relative mean% = 4.958 +- 0.01081%

Volume = pi*(outer_dia)^2*Length/4 - pi*(inner_dia)^2*depth/4 = 14.783924 cm^3

%relative mean = (2*mean_dev_outer_dia*Length/average_outer_dia + 2*mean_dev_inner_dia*depth/average_inner_dia)*pi/4 = 0.202%

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