The diameter of the moon is approximately one fourth of the diameterof

1.	The diameter of the moon is approximately one fourth of the diameterof the earth. What fraction of the volume of the earth is the volume ofEhe moon?
Answer» Let diameter of earth = D diameter of moon =D/4 =) radius of earth = D/2 =) radius of moon = D/8 earth and moon are like spheres. so volume 0f earth = 4/3×π(D/2)^3 and volume of moon = 4/3 × π(D/8)^3 so ratio of their volumes = 512/8 = 64:1 curved surface area of earth = 4π(D/2)^2 curved surface area of moon = 4π(D/8)^2 so ratio of their surface area = 64/4 = 16:1

The diameter of the moon is approximately one fourth of the diameterof the earth. What fraction of the volume of the earth is the volume ofEhe moon?

Answer»

Let diameter of earth = D

diameter of moon =D/4

=) radius of earth = D/2

=) radius of moon = D/8

earth and moon are like spheres.

so volume 0f earth = 4/3×π(D/2)^3

and volume of moon = 4/3 × π(D/8)^3

so ratio of their volumes

= 512/8 = 64:1

curved surface area of earth = 4π(D/2)^2

curved surface area of moon = 4π(D/8)^2

so ratio of their surface area

= 64/4 = 16:1