An artery of radius 3 mm sends blood to three smaller arteries that are all the same size. Each of the smaller arter much blood to flow as the larger artery does. What is the radius, in mm, of one of the smaller arteries?
A)
3
B)
3T1
C)
V3
D)
2/3

9514 1404 393

  C)  √3

Step-by-step explanation:

Treating this as a geometry problem, not a fluid dynamics problem, we assume the area of the smaller vessels must total that of the larger one. Then the ratio of areas of the smaller vessels to the larger one is 1/3. The ratio of radii is the square root of that: 1/√3.

Then the radius of the smaller arteries must be ...

  (3 mm)(1/√3) = √3 mm

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