Answer:
[tex]2\%[/tex]
Step-by-step 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
[tex]z^{3}=\frac{x}{y}[/tex]
In this problem we have
[tex]z=0.25[/tex]
elevated to the cube
[tex]z^{3}=0.25^{3}=0.015625[/tex]
Find the percent
[tex]0.015625*100=1.56\%[/tex]
Round to the nearest whole number
[tex]1.56\%=2\%[/tex]
