Question

The diameter of a planet is about 10,652 mi. The diameter of the planet's moon is about 25% of the planet. What percent of the volume is the volume of its moon.

*ROUND TO THE NEAREST WHOLE NUMBER AS NEEDED.

Answer 1

`2\%`

Explanation:

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

Let

z-----> the scale factor

x----> the volume of the planet's moon

y---> the volume of the planet

so

`z^(3)=(x)/(y)`

In this problem we have

`z=0.25`

elevated to the cube

`z^(3)=0.25^(3)=0.015625`

Find the percent

`0.015625*100=1.56\%`

Round to the nearest whole number

`1.56\%=2\%`