Owing to its gravitational pull, the Earth gains weight and volume slowly over time from...

Owing to its gravitational pull, the Earth gains weight and volume slowly over time from space dust, meteorites, and comets. Suppose the Earth is a sphere. Let the radius be r_a = 7000 kilometers at the beginning of the year 1900, and let r_b be its radius at the end of the year 2000. Assume that r_b = r_a +0.000001, an increase of 1 millimeter. Using a computer, calculate how much the Earth’s volume and surface area has increased during the last century by the following three procedures (exactly as given):

a. Difference in spherical volume

b. Difference in spherical volume

c. Difference in spherical surface area

First use single precision and then double precision. Compare and analyze your results.