Finding sensity of Saturn, given radius, mass, and formula

[staceyrho]

I am having trouble figuring out how to work this problem in my physics class.

The radius of the planet saturn is 5.85x10^7m, and it's mass is 5.68x10^26kg.
Find the density of saturn(it's mass divided by it's volume) if the volume of a sphere is 4/3pir^3.

Can anyone help me out?

 

[galactus]

You should know that the volume of a sphere is \(\displaystyle \L\\\frac{4}{3}{\pi}r^{3}\)

\(\displaystyle {\rho}=\frac{m}{V}\)

 

[staceyrho]

I have figured that out but where my problems are is when trying to solve this. I'm not sure what i'm doing with the 10^26kg and 10^7m? I am terrible at math to begin with and i'm required to take this class and i'm really struggling at this point.

 

[galactus]

It's not that much to struggle with. You're given everything.

All you need is the volume of a sphere formula

\(\displaystyle \frac{4}{3}{\pi}r^{3}\)

You're given the mass. The volume can be derived from the formula I gave because you have the radius. Divide them accordingly, density = m/v

You may have to divide exponents. Good practice.