Question

TV tower has a height 150 m what is the total population covered by the TV tower if population density around the TV tower is 10^3 km^-²

Answer 1

We know $d=\sqrt{2Rh}$
Where R is the radius of earth , and h is the height of the tower and d is the radius which the tower covers.
Therefore Area over the earth surface where TV Broadcast reaches= ${\mathrm{\pi d}}^2=\mathrm{\pi }\left(2\mathrm{Rh}\right)$
Thus the population is covered by the TV broadcast =(density)(Area)=
1000 * pi * 2 * R * h(in kilometers) = 1000 *3.14*2*6378*0.15 = 6008076