Question

The formula V = πr3 represents the volume V of a sphere with radius r. The radius of the Earth is approximately 6.3781 103. What is the approximate volume of the Earth? Use 3.14 for π

Answer 1

`radius \: of \: earth \: = 6.4 * {10}^(6) \: m \\ volume \: of \: a \: sphere = (4)/(3) \pi {r}^(3) \\ = (4)/(3) * 3.14 * (6.4 * {10}^(6) ) ^(3) \\ = 1.098 * {10}^(21) \: {m}^(3) \\ or \\ = 1.098 * {10}^(12) \: {km}^(3)`