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Question -

The diameter of the moon is approximately one-fourth of the diameter ofthe earth. What fraction of the volume of the earth is the volume of the moon?



Answer -

Let the diameter ofearth be “d”. Therefore, the radius of earth will be will be d/2

Diameter of moon willbe d/4 and the radius of moon will be d/8

Find the volume of themoon :

Volume of the moon =(4/3) πr= (4/3) π (d/8)3 = 4/3π(d3/512)

Find the volume of theearth :

Volume of the earth =(4/3) πr3= (4/3) π (d/2)3 = 4/3π(d3/8)

Fraction of the volumeof the earth is the volume of the moon

Answer: Volume of moonis of the 1/64 volume of earth.

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