tmyvl04
contestada

The diameter of the earth is about 7926 miles. The diameter of the moon is 27% of the diameter of earth. What % of the volume of earth is the volume of the moon?

Respuesta :

Answer:

The percent of the volume of the moon is [tex]1.97\%[/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

All the spheres are similar

Find the scale factor

The scale factor is equal to

[tex]27\%=27/100=0.27[/tex]

The scale factor elevated to the cube is equal to [tex]0.27^{3}[/tex]

therefore

The percent of the volume of the moon is equal to

[tex]0.27^{3}*100=1.97\%[/tex]