Approximate the percent increase in waist size that occurs when a 130 lb person gains 30.0 lbs of fat. assume that the volume of the person can be modeled by a cylinder that is 4.0 feet tall. the average density of a human is about 1.0 g/cm3 and the density of fat is 0.918 g/cm3

11.85%

Explanation:

First of all, we need to work with the same units.

The volume of a cylinder is:

a)

And as we know, the density is the mass per unit volume.

b)

With a and b we have the equation c:

c)

Now we can calculate the radius of the waist of the person when his weight is 130 lb.

To calculate the radius of the fat we use the formula of the volume of a hollow cylinder because the fat wraps up our original cylinder, the formula is:

d)

with b and d we have the equation e:

e)

The radius of the waist after the person gains 30.0 lbs will be:

So, the percent increase in waist will be: