Question

The diameter of a planet is about 22,502 mi. The diameter of the planet's moon is about 22% of the diameter of the planet. What percent of the volume of the planet is the volume of its moon?​

Answer 1

about 1.1%

Explanation:

Given a moon has a diameter of 22% of the diameter its planet, you want the volume of the moon as a percent of the planet's volume.

Scale factor

The ratio of moon diameter to planet diameter is given as 22%. The ratio of moon volume to planet volume will be the cube of this scale factor:

moon volume / planet volume = (0.22)³ ≈ 0.0106 = 1.06%

The volume of the moon is about 1.1% of the volume of the planet.

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