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Blood is flowing at a speed ? in an artery of radius ? which then splits...

Blood is flowing at a speed ? in an artery of radius ? which then splits into many much smaller arterioles of one-tenth radius ( ?/10 ). What is the fewest number of arterioles that one such artery can split into if the blood flow speed in the arterioles cannot rise above 10? to prevent pressure-drop collapse (vascular flutter)? A. 1 B. 3 C. 9 D. 10 E. 100

Please provide a full solution with a diagram, list of givens, required, solution and statement.

You should be able to do the solution with no calculator.

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