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p 13. The height of a. cone (H , in m) can be found from its volume (V, in mg) and radius (R, in m.)

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13. The height of a. cone (H , in m) can be found from its volume (V, in mg) and radius (R, in m.) as follows: H = 7r_%V%R_l The measurement of volume and radius can be modeled by V N '(v = 302) R N '(Hsl \"it = 0-52) Assume V and R are independent. An engineer measured the volume and radius and found 130 m3 and 4 m, respectively. What is the approximate standard deviation of H? 14. Which of the following is/are true? (A) In reference to question (13), we are very certain that the height is greater than 1.55 m (B) The propagation of error technique can give very misleading results when there is strong non-linearity {C} The propagation of error technique relies on a quadratic approximation

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