Answer to Question #93200 in Physics for Roaia

Question

the radius of yhe planet saturn is 5.87×10^7m and it's mass is 5.86×10^26kg. find the density of its material by g/m find it's surface area by m2 (4πr)

Answer 1

The density of its material:

$$\rho=\frac{m}{V}=\frac{3m}{4\pi r^3}$$

$$\rho=\frac{3(5.86\cdot 10^{26})}{4\pi (5.87\cdot 10^7)^3}$$

$$\rho=692\frac{kg}{m^3}$$

It's surface area:

$$A=4\pi r^2=4\pi (5.87\cdot 10^7)^2=4.33\cdot 10^{16}\ m^2$$