the diameter of moon is aproximately 1/4 of the diameter of earth what fraction of volume of earth is the volume of moon
Answers
Answered by
1
let diameter of moon is d
so, diameter of earth is 4d
now,
volume of earth =4/3π(4d/2)^3=16/3πd^3
volume of moon =4/3π(d/2)^3=πd^3/3
fraction= (16/3πd^3)/(πd^3/3)
=16
so, diameter of earth is 4d
now,
volume of earth =4/3π(4d/2)^3=16/3πd^3
volume of moon =4/3π(d/2)^3=πd^3/3
fraction= (16/3πd^3)/(πd^3/3)
=16
fathimao8:
but formula is 4/3 πr^3 na
Answered by
1
⇒ Let the diameter of the earth be d metre.
⇒ And, the diameter of moon is d/4 metre.
⇒ V1 = Volume of earth
⇒ V2 = Volume of moon
⇒ Volume of sphere = 4/3 π (r^3)
⇒ V1 = 4/3π(d/2)^3
⇒ V1 = π/6(d)^3
⇒ V2 = 4/3π(d/8)^3
⇒ V2 = π/384(d)^3
⇒ V1/V2
⇒ 1/64
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