Exam Review 7.8, ER 2 A tun is an English unit of liquid volume (not weight), us

Question

Exam Review 7.8, ER 2 A tun is an English unit of liquid volume (not weight), used for measuring wine, oil or honey. At some time before the 15th century, it was defined as 252 gallons [gal], so as to be evenly divisible by small integers, including seven. A modern US oil barrel [bbl] is approximately the same volume as a tierce. If an oil barrel was designed to be 20.5 inches [in] in diameter, how tall was the barrel in units of feet [ft]? You may assume the volume of the barrel can be approximated as the volume of a cylinder: Thinking Like an Engineer Stephan, Bowmar, Park, Si Ohland An Active Leaning Approach Copyright O 2018 Pearson Prentice Hall, Inc. h Edition

Explanation / Answer

1 gallon=0.133681 ft3

1 inch =0.083333 ft

Given Volume is

V=252*0.133681=33.69 ft3

diameter

D=20.5*0.083333=1.708 ft

radius

r=D/2=0.854 ft

since Volume is given as

V=pir2H

H=33.69/pi*0.8542

H=14.7 ft

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