Question

the diameter of moon is one fourth of the diameter of the earth what fraction of the volume of the earth is the volume of the moon

Answer 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

Answer 2

Step-by-step explanation:

164

Complete step-by-step answer:

Diameter of the moon is one fourth the diameter of the earth. Radius of the moon=12×x4 =x8. Thus, the fraction ofvolume of moon and earth is 164.