Nicole Lepaute (1723-1788) was a French astronomer considered one of the "best astronomical computers" of the time. In 1758, she made predictions about the return of Halley's Comet and determined how the gravity of the planets can affect the path of a comet. In 1762, she calculated the exact time of a solar eclipse that would occur in 1764 by making a map of the extent of the eclipse throughout Europe, with intervals of 15 minutes.
In this context, let us now consider the following astronomical problem:
If we consider the Sun as a sphere of diameter approximately 1.4 . 106 km and the Earth as another sphere of diameter approximately 12,742 km, calculate:
a) The volume and surface area of the two celestial bodies.
b) Compare the obtained results.