Math, asked by Anonymous, 1 year ago

the diameter of the moon is approximately one-fourth of the diameter of earth. compare their volumes and curved surface areas

Answers

Answered by Anonymous
194
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

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Hope it will help u
Answered by 27Tushar
79

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