Question

The diameter of the 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? plz ans bhai priyanshu only.. plz bhai help..

Answer 1

yo mere bhai
this is very simple question yaar
Let the diameter of earth be d.
therefore, the radius of earth will be d/2
Diameter of moon will be d/4 and the radius of moon will be d/8
Volume of moon=4/3Πr³
=4/3Π[d/8]³=1/512×4/3Πd³
volume of earth=4/3Πr³
=4/3Π[d/2]³=1/8×4/3Πd³
volume of moon/volume of earth=1/512×4/3Πd³/1/8×4/3Πd³
=1/64
=>volume of moon =1/64volume of earth
Therfore, the volume of moon is 1/64 of the volume of earth.
HOPE IT WILL HELP YOU BRO THANKS...

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