First of all convert the units inches and feet into meters for simplicity of the solution.
Length of the cylinder, L = 5 feet 7 inches = 5 x 0.3040 + 7 x 0.0254 = 1.524 + 0.1778 = 1.7018 m
Circumference of the cylinder = 2pi*r = 27 inch = 27 x 0.0254 m = 0.6858 m
=> Radius of the cylinder = r = 0.6858 / (2pi) = 0.11 m
(a) Average volume of the human body, V = volume of cyliner = pi*r^2*L = 3.141*0.11^2*1.7018 = 0.0647 m^3
(b) Air buoyant force on human body = V * density of air * g = 0.0647*1.3*9.81 = 0.825 N
(c) True weight of human body = Wbody = V*(density of human body) = 0.0647 * 1050 = 67.94 kg
Apparent weight of human body = True weight - buoyant weight = 67.94 - 0.0647*1.3
= 67.86 kg
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