Poiseuille's law states that the volume, v, of blood flowing through an artery in a unit of time at a fixed pressure is directly proportional to the fourth power of the radius of the artery. that is, v=kr4, where r is the radius of the artery y about how much must the radius of the artery be increased to achieve a 55 % increase in the volume of blood flowing through the artery?

11.58%

Step-by-step explanation:

The initial volume if blood flowing through the artery is given by

To achieve a new volume of 155% (55% increase) of the initial volume, the new radius must be:

Since the new radius is 1.1158 times larger than the initial radius, the percentage increased is:

answer: city needs 2.4 inches of rainfall more to match the record of 40 inches.

step-by-step explanation:

since we have given that

total annual rainfall a city record = 40 inches

this year, total rainfall recorded = 37.6 inches

number of inches of rainfall   is needed to match the record of 40 inches is given by

hence, city needs 2.4 inches of rainfall more to match the record of 40 inches.