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the Diameter of moon is approximately one-third of earth. find ratio of their volumes
Answers
Step-by-step explanation:
Actually earth is not completely sphere in shape or it is not sphere in shape. It's rotation causes it to bulge at the equator. If earth is sphere in shape, using volume of sphere formula, we can it's volume. Since, it is not sphere in shape, it is some what complicated to find the volume of earth. Earth has 2 radius. I will volume for both the radius.
Given,
Diameter ( moon ) = ⅓ × Diameter ( earth )
Assume earth as sphere.
Therefore,
Radius ( moon ) = ⅓ × Radius ( earth )
In equator the radius is 6378 km.
Radius ( earth ) = 6378 km
Voume ( earth ) : -
Volume ( sphere ) = π r³
= 3.14 × 6378 × 6378 × 63789
Volume ( sphere ) = 814672755557.28 km³
Volume ( moon ) = ⅓ × Volume ( earth )
= ⅓ × 814672755557.28
Volume ( moon ) = 271557585185.76 km²
Volume ( earth ) : Volume ( moon )
= 814672755557.28 : 271557585185.76
= 3 : 1
In polar, the radius is 6357 km
Radius ( earth ) = 6357 km
Here also the ratio will be 3 : 1.