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

Answer:

$2\%$

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

$z^{3}=\frac{x}{y}$

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

$1.56\%=2\%$