What is Kepler's Formula and How is it Used in Circular Motion and Gravitation?

[Mongster]

Homework Statement

Find the radius R of the orbit of a geosynchronous satellite that circles the Earth. (Note that R is measured from the center of the Earth, not the surface of the Earth.)

The universal gravitational constant G is 6.67×10−11Nm2/kg2.
The mass of the earth is 5.98×1024kg.
The radius of the earth is 6.38×106m.

Relevant Equations

r^3 = (G*Mass of Earth*T^2)/(4pi^2)

Using Kepler's Formula, I tried to solve for the answer but was told that it's incorrect.

 

[PeroK]

Doesn't $4 \times 10^{-7}m$ seem just a little small for a satellite orbit?

 

[Vanadium 50]

But that's what the calculator said!

Also, 24 x 60 is not 86400. There are 86400 seconds in a day, but that's not 24 x 60.

 

[Mongster]

Ahh I apologise. It's a silly mistake I've made, shouldn't have rushed through things. Thank you all for the valuable inputs!