# Surface area of N spherical droplets?

## Homework Statement

I have the following problem
Assume that 30.0 cm^3 of gasoline is atomized into N spherical droplets, each with a radius of 2.00 x 10^-3 m. What is the total surface area of these N spherical droplets?

## Homework Equations

SA = 4 * pi *r^2
V = 4/3 * pi * r^3

## The Attempt at a Solution

SA of each atom is 5.03x10^-9
V = 3.35x10^-14

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G01
Homework Helper
Gold Member

What is the total surface area of all the spheres in terms of N?

What is the total volume of all the spheres in terms of N?

If you can answer these questions you should be able to eliminate N, allowing you to solve for The surface area.

Kurdt
Staff Emeritus
Gold Member
Have you worked out how many droplets there are?

Dick
Homework Helper
Ignoring the fact both SA and V of the droplets are both very wrong and lack units (you can do better than that!). Total volume before equals total volume after. Use that to solve for N.

The values are wrong...?
I know the units of area of is m sqrd and volume is m cubed, but as far the values go, has my calculator betrayed me?

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Kurdt
Staff Emeritus