The diameter of a planet is 2020 miles
We are asked to find the volume of the planet.
Recall that the volume of a sphere is given by
[tex]V=\frac{4}{3}\cdot\pi\cdot r^3[/tex]Where r is the radius.
We know that the radius is half of the diameter.
[tex]V=\frac{4}{3}\cdot\pi\cdot(\frac{D}{2})^3[/tex]Let us substitute the value of diameter and π
[tex]\begin{gathered} V=\frac{4}{3}\cdot3.14\cdot(\frac{2020}{2})^3 \\ V=\frac{4}{3}\cdot3.14\cdot(1010)^3 \\ V=\frac{4}{3}\cdot3.14\cdot(1030301000) \\ V=4313526853\: mi^3 \end{gathered}[/tex]Now let us round off the answer to the nearest thousand.
[tex]V=4313526853=4313527000[/tex]Therefore, the volume of the planet is 4313527000 cubic miles.
