Question

the diameter of moon is aproximately 1/4 of the diameter of earth what fraction of volume of earth is the volume of moon

Answer 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

Answer 2

⇒ 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