Question

A diameter of a planet is 2020mi find the volume of the planet using 3.14 for pie the volume is (simplify your answer round to the nearest thousand as needed)

Answer 1

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

`V=(4)/(3)\cdot\pi\cdot r^3`

Where r is the radius.

We know that the radius is half of the diameter.

`V=(4)/(3)\cdot\pi\cdot((D)/(2))^3`

Let us substitute the value of diameter and π

`\begin{gathered} V=(4)/(3)\cdot3.14\cdot((2020)/(2))^3 \\ V=(4)/(3)\cdot3.14\cdot(1010)^3 \\ V=(4)/(3)\cdot3.14\cdot(1030301000) \\ V=4313526853\: mi^3 \end{gathered}`

Now let us round off the answer to the nearest thousand.

`V=4313526853=4313527000`

Therefore, the volume of the planet is 4313527000 cubic miles.