On dry land, an athlete weighs 70.2 kg. The same athlete,

Chapter 10, Problem 37

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(II) On dry land, an athlete weighs 70.2 kg. The same athlete, when submerged in a swimming pool and hanging from a scale, has an “apparent weight” of 3.4 kg. Using Example 10–8 as a guide, (a) find the total volume V of the submerged athlete. (b) Assume that when submerged, the athlete’s body contains a residual volume \(V_R = 1.3 \times 10^{-3}\ m^3\) of air (mainly in the lungs). Taking \(V - V_R\) to be the actual volume of the athlete’s body, find the body’s specific gravity, SG. (c) What is the athlete’s percent body fat assuming it is given by the formula (495/SG) - 450?

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