CBSE Class 9 Answered
the diameter of moon is approximately one-fourth of the diameter of the earth.what fraction of the volume of the earth is the volume of the moon?
Asked by rajeshporwal02 | 07 Jan, 2023, 07:38: PM
Expert Answer
Let us assume earth and moon are spherical in shape.
Let r be radius and d be diameter of sphere
Volume of sphere V = (4/3)
r3 = (4/3)(d/2)3 = (1/6)d3
r3 = (4/3)(d/2)3 = (1/6)d3Volume is proportional to cube of diameter.
Let VE be volume of earth and dE is its diameter.
Let VM be volume of moon and dM is its diameter.
dM = (1/4) dE ( given )
Hence , Volume of moon is (1/64)th of volume of earth.
Answered by Thiyagarajan K | 07 Jan, 2023, 08:12: PM
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