# How do you calculate the mass of the sun, #M_"sun"#, using Kepler's third law (#T^2=(4 pi^2 r^3)/(G M_"sun")#)?

##
Assume the period of the Earth is #T=3.156xx10^7# seconds and the Earth's distance from the Sun is #1.496xx10^11# meters.

Assume the period of the Earth is

##### 1 Answer

Plug the given values into the given equation. Answer:

#### Explanation:

Since we are given the equation:

where

First, we will use variables to solve for

Now, we can substitute our given values: