Space X constructed a satellite that is expected to revolve $($circle$)$ around the earth $9\mathrm{.}5$ times every $24\mathrm{.}7$ hours. The satellite is expected to travel in a uniform circular motion above the earth. Calculate the altitude above the earth's surface that the satellite resides.

Assume the following:

The radius of earth : $6371000$m

The Mass of the earth: $5\mathrm{.}97$ X $10^24$ kg

The gravitational constant $($G$)$ : $6\mathrm{.}67*10^-11($N$*$m$*$m$/$kg$*$kg$)$