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The diameter of moon is about 1/4 that of earth.Compare their volumes and curved surface areas.

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The diameter of the moon is approximately one fourth of the diameter of the earth. Find the ratio of their surface areas. 


Let the diameter of earth be r and that of the moon will be r/4
Radius of the earth = r/2
Radius of the moon = r/8
Ratio of their surface area = 4π(r/8)2/4π(r/2)2
                                                    = (1/64)/(1/4)
                                          = 4/64 = 1/16
Thus, the ratio of their surface areas is 1:16
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