Do as a C++ code program

5. (Heat transfer) The time t takes for a spherical object to cool from an initial temperature of Tii to a final temperature of Tfi caused entirely by radiation, is provided by Kelvin's cooling equation: N1.1 t is the cooling time in years. N is the number of atoms. k is Boltzmann's constant (1.38x 10-23m-kg/s%; note that 1 Joule-1 m2kg/sh, e is emissivity of the object. is Stefan-Boltzmann's constant (5.6703 x 10-8 watts/m2K4). A is the surface area. Tjin is the final temperature Tini is the initial temperature Assuming an infinitely hot initial temperature, this formula reduces to Nk fin Using this second formula, write a C++ program to determine the time it took Earth to cool to its current surface temperature of 300 K from its initial infinitely hot state, assuming the cooling is caused only by radiation. Use the information that the area of the Earth's surface is 5.15 1014m, its emissivity is 1, the number of atoms contained in the Earth is 1.1 1050, and the radius of the Ear is 6.4 x 106 meters. Additional here's surface area is given by this formula: lly, use the relationship that a sp Surface area of a sphere-4 r2