Density Question...?

Question

A proton, which is the nucleus of a hydrogen atom, can be modeled as a sphere with a diameter of 2.4 fm (2.4 x 10^-15 m) and a mass of 1.67 x 10^-27 kg. Determine the density of the proton.

Show me the steps.

***Need answer ASAP!!***

Answer 1

Density = mass/volume

You know the mass, so you just need the volume.

My solution:

Volume of a sphere = 4*pi*r^3/3   where r is the radius.

r = 1.2 fm

V = 4*pi*(1.2*10^-15)^3/3 = 7.238 * 10^-45 m^3

Density = 1.67 * 10^-27/7.238*10^-45 = 2.307 * 10^17 kg/m^3

Answer 2

Density is mass over volume.

The volume of a sphere is 4πr³/3. r is half the diameter.

So the density would be 2.3×10¹⁷ kg/m³.

Answer 3

Smack whoever assigned this question.  You can't model protons that way.  Besides, not all hydrogen nuclei consist only of just a proton.  

Answer 4

Calculate volume of a sphere =

4/3 Pi R^3

(4/3) * 3.14159* ((2.4*10^-15)/2)^3 = Answer

Plug and chug, I don't have a calculator

Answer/(1.67 *10^-27)

Result in Kg/m^3