# Surface Area

posted by .

[Given]
Fiber Linear Density = 1 denier = 1 g/9000m
Fiber Density = 1.14 g/cm^3

[Find..]
Fiber surface area in cm^2/g
Assume that the fiber strand is a uniform cylinder

Surface area = 3,150 cm^2/g

....... how do i get to the answer? my professor gives us these notes:

Pi*D*L

Pi*D is the diameter of the top of the cylinder when it is cut vertically in half. and L is the height.

((Pi*D^2)/(4)) * L = volume of the cylinder

((Pi*D^2)/(4)) * L * Density = weight

• Surface Area -

If it is a cylinder of length L

volume= PI r^2 *L
Surface area= PI*2(r)L

mass=masslineardensiy*L
density= mass/volume=1.14g/cm^3

fiberarea/g= fiberarea/mass=
PI*2*r*L/massdensity*V=
PI*2r*L/(1.14g/cm^2 * PI*r^2*L)
2cm^2/(1.14g*r)= 2/1.14r g/cm^2

Now, r
linear density=1g/9000m
= mass/L= volumedensity*volume/L
1g/9000m=1.14g/cm^3*PIr^2/L
r^2=1cm^3/(1.14*9000m*PI)
=1/(1.14*900000*PI) cm^2
t hen find the sqrt root of that.

• Surface Area -

how to do surface area

## Similar Questions

1. ### Physics, Desperate Need of help!

Gold, has a mass of 19.32g for wach cubic centimeter of volume, is most ductile metal and can be pressed into a thin leaf or drawn out into long fiber. -If a sample of gold, with a mass of 27.63g is pressed into a leaf of 1.000micometers …
2. ### SCI

What is the function of fiber in the body?
3. ### Statistics for Decision

Calorie Level Fiber Type High Calorie Low Calorie Totals High Fiber 18 4 22 Medium Fiber 23 6 29 Low Fiber 12 21 33 Totals 53 31 84 1. What is the probability that the cereal would be high calorie?
4. ### Math

FiberType HighCalorie LowCalori Totals High Fiber 18 4 22 Medium Fiber 23 6 29 Low Fiber 12 21 33 Totals 53 31 84 3. What is the probability that a cereal would both high calorie and high fiber?
5. ### Math

High Fiber foods have at least 5 gof fiber per serving. Write an inequality ti represent the situation. Let f be the number of grams of fiber per serving of high fiber food.
6. ### physics

Gold, which has a density of 19.32 g/cm^3, is the most ductile metal and can be pressed into a thin leaf or drawn out into a long fiber. (a) If a sample of gold with a mass of 6.710 g, is pressed into a leaf of 1.661 μm thickness, …
7. ### physics

Gold, which has a density of 19.32 g/cm3, is the most ductile metal and can be pressed into a thin leaf or drawn out into a long fiber. (a) If a sample of gold with a mass of 8.464 g, is pressed into a leaf of 5.036 ìm thickness, …
8. ### Science

I have 2 questions. 1.) Is there a powder that just contains insoluble fiber. I know that Benifiber and many other products contain soluble fiber or both soluble and insoluble fiber. But for the experament I have put together i need …
9. ### nutrition

Is adding a fiber supplement or eating a large bowl of a fiber-fortified cereal just as health as eating a diet high in fiber?
10. ### Math

Your doctor told you to eat 25 grams of fiber each day. You had 4 grams of fiber for breakfast. What percent of the 25 grams of fiber have you eaten so far?

More Similar Questions