The Sun is considered to be a satellite of our galaxy, the Milky Way. The Sun revolves around the center of the galaxy with a radius of 2.20x10^20 meters. The period of one revolution is 2.50x10^8 years. Thanks!
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Wrong! You cannot use newtonian mechanics to solve for this type of problem. Keplers third law is only valid if other gravitational forces are negligible. Empirical evidence shows that dark matter is uniformly distributed around our galaxy making everything orbit at around the same rate. However, if you wanted to know how to do this problem for just the sake of it, (which would be incorrect). You would use the following formula.
M = 4πR^3 / GT^2
EDIT: Did you remember to change years to seconds?
M = 4πR^3 / GT^2
EDIT: Did you remember to change years to seconds?