Mensuration Practice Test 4

Question : 22 of 40

Marks: +1, -0

The diameter of the moon is assumed to be one-fourth of the diameter of the earth. Then the ratio of the volume of the earth to that of the moon is:

Solution:

Diameter of earth = x
Radius R =

x/2

Diameter of moon =

x/4

Radius of moon r =

x/8

Ratio of volumes of Earth to Moon

{4πR^2}/3:{4πr^2}/3

{4π}/3(x/2)^3 : {4π}/3(x/8)^3

(x/8) : x/{512}

512 : 8
64 : 1

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