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Question 3 (10 pts): Suppose we model the trachea of the lung as a cylinder and its volume is given as a function of its

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Question 3 (10 pts): Suppose we model the trachea of the lung as a cylinder and its volume is given as a function of its radius r and axial length l as follows: V(r,l)=r2l Suppose from an image of the lung, we estimated the radius of the trachea of a patient to be 25mm with a 1% uncertainty and estimated its length to be 80mm with a 2% uncertainty. Estimate the propagated uncertainty in the volume by using a first-order Taylor approximation to the true value of the volume

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